How to align multiple long equations between them and inside them

I have the following series of equations:

\documentclass[a4paper,12pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{mathtools}

\begin{document}
\begin{align}
\begin{split}\label{eq:1}
V_{g}(L^V_g, L^V_g) = {}& \pi_{gt}^{\ominus}\bigg[(1-L^V_g)^{1-\alpha} P_{jt}(N_{gt}r_{gt})^{\alpha} + (1-L^V_{\bar{g}})^{1-\alpha} P_{\overline{j}t}(N_{\bar{g}t}r_{\bar{g}t})^{\alpha} + \delta V_t^V(.)\bigg] \\ & - w_{gt}^F(1-L^V_g) - w_{gt}^V L^V_g
\end{split}\\
\begin{split}\label{eq:2}
V_{g}(L^V_g, 0) = {}& \pi_{gt}\bigg[(1-L^V_g)^{1-\alpha} P_{jt}(N_{gt}r_{gt})^{\alpha} + (1-L^V_{\bar{g}})^{1-\alpha} P_{\overline{j}t}(N_{\bar{g}t}r_{\bar{g}t})^{\alpha} + \delta V_t^V(.)\bigg] \\ & - w_{gt}^F(1-L^V_g) - w_{gt}^V L^V_g
\end{split}\\
\begin{split}\label{eq:3}
V_{g}(0, L^V_g) = {}& (1-\pi_{\bar{g}t})\bigg[(1-L^V_g)^{1-\alpha} P_{jt}(N_{gt}r_{gt})^{\alpha} + (1-L^V_{\bar{g}})^{1-\alpha} P_{\overline{j}t}(N_{\bar{g}t}r_{\bar{g}t})^{\alpha} + \delta V_t^V(.)\bigg] \\ & - w_{gt}^F(1-L^V_g) - w_{gt}^V L^V_g
\end{split} \\
\begin{split}\label{eq:4}
V_{g}(0, 0) = {}& P_{jt}(N_{gt}r_{gt})^{\alpha} + \delta V_t^P(g) - w_{gt}^F + H_{gt}(\mathbb{1}_{\epsilon_{gt}})
\end{split}
\end{align}
\end{document}


which gives me the following result:

But I would like the following output:

I would like the $V_{gt}(.)$ to be aligned to the left while keeping an alignment also inside each equation. In my example, the equations are aligned with respect to "=": when I split an equation, the new part is aligned with respect to "=" but my problem is that the equations are aligned with respect to "=" also between them. However I would like that each equation is aligned with respect to "=" (so that an equation is correctly split) but I would like also that the equations are aligned to the left between them (the $V_{gt}(.)$). Unfortunately, I found no answer to my problem.

I hope I am clear enough. Thank you for your help !

• Welcome to the site. The align family of environments always employ right-left alignments, whereas you seem to want left alignments only. Perhaps align is the wrong tool. – Steven B. Segletes Apr 22 at 9:15
• You can do this using alignat but it is going to require a lot of & per line, so I'm not sure that it is worth it – daleif Apr 22 at 9:27
• BTW, you might want to put the equation number on the last line of each equation instead of the first. See \notag. – John Kormylo Apr 22 at 13:46
• Thanks a lot for your welcoming and for your remarks ! – Julian Apr 22 at 18:21

I would do that with alignedat and aligned. Note I had to change the fontsize to 11pt and set horizontal margins to 1in to make the equations fit within margins. Also, unless your distribution is quite old, loading inputenc with option utf8 is not necessary nowadays: it has been the default for more than 3 years.

\documentclass[a4paper,11pt]{article}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{mathtools}
\usepackage[hmargin=1in]{geometry}

\begin{document}

\begin{alignat}{2}
\label{eq:1}
& V_{g}(L^V_g, L^V_g) & & = \begin{aligned}[t] & \pi_{gt}^{\ominus}\bigg[(1-L^V_g)^{1-\alpha} P_{jt}(N_{gt}r_{gt})^{\alpha} + (1-L^V_{\bar{g}})^{1-\alpha} P_{\overline{j}t}(N_{\bar{g}t}r_{\bar{g}t})^{\alpha} + \delta V_t^V(.)\bigg] \\ & - w_{gt}^F(1-L^V_g) - w_{gt}^V L^V_g
\end{aligned}\\
\label{eq:2}
& V_{g}(L^V_g, 0) & & = \begin{aligned}[t]& \pi_{gt}\bigg[(1-L^V_g)^{1-\alpha} P_{jt}(N_{gt}r_{gt})^{\alpha} + (1-L^V_{\bar{g}})^{1-\alpha} P_{\overline{j}t}(N_{\bar{g}t}r_{\bar{g}t})^{\alpha} + \delta V_t^V(.)\bigg] \\ & - w_{gt}^F(1-L^V_g) - w_{gt}^V L^V_g
\end{aligned}\\
\label{eq:3}
& V_{g}(0, L^V_g) & & = \begin{aligned}[t]& (1-\pi_{\bar{g}t})\bigg[(1-L^V_g)^{1-\alpha} P_{jt}(N_{gt}r_{gt})^{\alpha} + (1-L^V_{\bar{g}})^{1-\alpha} P_{\overline{j}t}(N_{\bar{g}t}r_{\bar{g}t})^{\alpha} + \delta V_t^V(.)\bigg] \\ & - w_{gt}^F(1-L^V_g) - w_{gt}^V L^V_g
\end{aligned} \\
\label{eq:4}
& V_{g}(0, 0) & & =P_{jt}(N_{gt}r_{gt})^{\alpha} + \delta V_t^P(g) - w_{gt}^F + H_{gt}(\mathbb{1}_{\epsilon_{gt}})
\end{alignat}

\end{document}


• Thanks a lot, it works perfectly ! – Julian Apr 22 at 18:21

I used alignat and additional & separators to achieve the left alignments. I changed split to aligned probably out of personal preference, and I had to add a \! before the 2nd line of the aligned equations, to back up the minus sign into alignment.

\documentclass[a4paper,12pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{mathtools}
\usepackage[margin=.75in]{geometry}
\begin{document}
\begin{alignat}{2}
\label{eq:1}
& V_{g}(L^V_g, L^V_g) &&= \begin{aligned}[t]{}& \pi_{gt}^{\ominus}
\bigg[(1-L^V_g)^{1-\alpha} P_{jt}(N_{gt}r_{gt})^{\alpha} +
(1-L^V_{\bar{g}})^{1-\alpha} P_{\overline{j}t}(N_{\bar{g}t}r_{\bar{g}t})^{\alpha}
+ \delta V_t^V(.)\bigg]
\\ & \!- w_{gt}^F(1-L^V_g) - w_{gt}^V L^V_g
\end{aligned}\\
\label{eq:2}
& V_{g}(L^V_g, 0) &&= \begin{aligned}[t]{}& \pi_{gt}\bigg[(1-L^V_g)^{1-\alpha}
P_{jt}(N_{gt}r_{gt})^{\alpha} + (1-L^V_{\bar{g}})^{1-\alpha} P_{\overline{j}t}
(N_{\bar{g}t}r_{\bar{g}t})^{\alpha} + \delta V_t^V(.)\bigg]
\\ & \!- w_{gt}^F(1-L^V_g) - w_{gt}^V L^V_g
\end{aligned}\\
\label{eq:3}
& V_{g}(0, L^V_g) &&= \begin{aligned}[t]{}& (1-\pi_{\bar{g}t})
\bigg[(1-L^V_g)^{1-\alpha} P_{jt}(N_{gt}r_{gt})^{\alpha} +
(1-L^V_{\bar{g}})^{1-\alpha} P_{\overline{j}t}(N_{\bar{g}t}r_{\bar{g}t})^{\alpha}
+ \delta V_t^V(.)\bigg]
\\ & \!- w_{gt}^F(1-L^V_g) - w_{gt}^V L^V_g
\end{aligned} \\
\label{eq:4}
& V_{g}(0, 0) &&= \begin{aligned}[t]{}& P_{jt}(N_{gt}r_{gt})^{\alpha} +
\delta V_t^P(g) - w_{gt}^F + H_{gt}(\mathbb{1}_{\epsilon_{gt}})
\end{aligned}
\end{alignat}
\end{document}


• Thank you very much for the trick ! – Julian Apr 22 at 18:21