You shouldn't work out sore muscles I don't think. It takes some time to get your muscles into action, so instead of doing that work out the day before and then it having it not go to use, if you're sore, lift very light weights until your muscles start to feel better. Working out sore arms with the same weight that got them sore will just strain them.

If they're sore though, you know they got a workout.

So I would lighten up on the weight for now. Let your muscles go back to normal, and next time, lighten up on the weight so it isn't such a strain the next day. You have to start low to build your muscles up. Starting heavy right off the bat can strain your muscles big time.

I once worked with a kid who tore a tendon in his wrist from lifting too much at first. Start light, then build. Crawl before you walk.