Start by opening a terminal:
1. rpm -Uvh http://linuxdownload.adobe.com/adobe-release/adobe-release-i386-1.0-1.noarch.rpm
2. yum install flash-plugin nspluginwrapper.{i386,x86_64} pulseaudio-libs.i386 alsa-plugins-pulseaudio.i386 libcurl.i386
3. mozilla-plugin-config -i -g -v

Once again I make no guarantee this will work for you. Also one more point I like to make. There are so many Linux distributions that come preinstalled with Java and Flash Player (PCLinuxOS, Mint, etc). Why not use those distributions to make your life easier.