You didn't give any examples of .cls or .sty files listed as missing. 
Perhaps they're in texlive-texmf-latex.  Do you have it installed? I don't 
use lyx, but do use latex, and on my computer the following are installed:

texlive-dvips-2007-57.el6_2.x86_64
texlive-latex-2007-57.el6_2.x86_64
texlive-texmf-errata-dvips-2007-7.1.el6.noarch
texlive-texmf-errata-fonts-2007-7.1.el6.noarch
texlive-utils-2007-57.el6_2.x86_64
texlive-texmf-2007-38.el6.noarch
texlive-2007-57.el6_2.x86_64
texlive-texmf-dvips-2007-38.el6.noarch
texlive-texmf-fonts-2007-38.el6.noarch
texlive-texmf-latex-2007-38.el6.noarch
texlive-texmf-errata-2007-7.1.el6.noarch
texlive-texmf-errata-latex-2007-7.1.el6.noarch
tex-cm-lgc-0.5-17.1.el6.noarch

Steven Yellin

On Mon, 9 Nov 2015, Arthur H. Edwards wrote:

> I'm running SL6 on a 64-bit machine. I have sudo privileges. Lyx is
> installed, but it seems to have no latex configuration. It is not
> finding .cls or .sty files when I try to build andyting from dvi to pdf.
> However, when I look at tex information under tools, it gives a list
> that includes all of the .cls and .sty files it says are missing.
>
> Any help would be appreciated.
>
> Art Edwards
>
> --
>  Arthur H. Edwards
>  [log in to unmask]
>