several multlined equation alignment

I am writing something for a journal that requires two column page... space for equations is really small and some of my equation are fairly large.

When using the class of the journal equations do not fit, so I added some multlined environment:

\documentclass[twocolumn]{article}
\begin{document}
\begin{subequations}
\begin{align}[left = {\empheqlbrace\,}]
&\begin{multlined}
aaaaaaaa \\
= bbbbbbb  \qquad \forall x \in \Omega,
\end{multlined} \\
&\begin{multlined}
ccc \\
= ddd  \qquad \forall y \in \Gamma,
\end{multlined}
\end{align}
\end{subequations}
\end{document}


Questions,

1. Is there a better solution than multlined?
2. I would like to align the two \forall... any idea?

Edit: working example added. PS: thanks for initial answers. New member here.

• (1) Welcome, (2) as always on this site please provide a full minimal example that others can just copy and try out without having to add anything – daleif Jul 25 '16 at 8:37
• Picking up on what @daleif rightly says, you might find this famous page helpful meta.tex.stackexchange.com/questions/228/… – Au101 Jul 25 '16 at 8:38
• In this case it is particularly important as align does not normally take any options in [] – daleif Jul 25 '16 at 8:39

MWE:

\documentclass[twocolumn]{article}
\usepackage{empheq}

\begin{document}
\begin{subequations}
\begin{empheq}[left = \empheqlbrace]{alignat=3}
aaaaaaaa & = bbbbbbb &\qquad    \forall x & \in \Omega,\\
ccc  & = ddd     &\qquad    \forall y & \in \Gamma,
\end{empheq}
\end{subequations}
\begin{subequations}
\begin{empheq}[left = \empheqlbrace]{alignat=3}
\begin{multlined}aaaaaaaa \\
= bbbbbbb
\end{multlined}  &\qquad    \forall x & \in \Omega,\\
\begin{multlined}ccc     \\
= ddd
\end{multlined}  &\qquad    \forall y & \in \Gamma,
\end{empheq}
\end{subequations}
\end{document}