My Water softener spewed media into my supply lines. All of my cold water faucets are running slowly or not at all. How should I go about unclogging the supply lines?:confused:

You must first bypass the softener and get it out of your system. First thing would be to remove the aerators ,(see image) from the affected valves and clean the screens. That should help. If you're still clogged you will have to shut the water off open up the affected valve or valves and flush them out.
Good luck, Tom