For TeX Live, manually installed files should be located in one of two trees (in the standard case).
The basic idea is that there are (er ... roughly) three trees. The
MAIN tree is handled by TeX Live's package manager (for an upstream install) or your Linux distro's package manager (for a repackaged install). You should not add, modify or remove files in this tree at all by hand.
The second is the
LOCAL tree. This is for packages installed locally for all users. Its location is given by
kpsewhich -var TEXMFLOCAL
The third is the
HOME tree. This is for personal single-user packages. Its location is given by
kpsewhich -var TEXMFHOME
However, font support packages should NEVER1 be installed into
TEXMFHOME but ALWAYS1 into
TEXMFLOCAL even on single-user systems. Undoing this is more complex than never doing it, because merely uninstalling and installing into the right place doesn't undo the damage.
Once you know which tree you are using, you need to figure out where in that tree to put the files. For LaTeX packages,
.sty files must end up somewhere under
<root of tree>/tex/latex/ but preferably under
<root of tree>/tex/latex/<name of package>/ as this helps keep your tree intelligible by human beings. Likewise, documentation goes under
<root of tree>/doc/latex/<name of package>/. You can usually see where things belong by looking at the structure under
TEXMFMAIN and mirroring the hierarchy below the root.
Most files, including
.sty files can also be included in your working directory - wherever your
.tex is - and will be found without messing around with the tree structure issue at all.
1 As with most such rules, this may be broken if you really know what you're doing and why you are doing it. However, the only case in which you might reasonably consider doing this, albeit with a heavy heart, is one in which you lack authorisation to modify the
LOCAL tree and have been unsuccessful in prolonged efforts to persuade the administrator of your local TeX installation to install the font packages of your dreams. Even then, the sensible course will generally be to forgo the fonts concerned. 'I prefer it' is inadequate. 'My report requires a symbol not otherwise available to me at all and my report represents a major life project or has substantial social, moral or cultural value' might be good enough, but probably it is easier to change your life goals and/or society's values.