I changed jobs and my commute went from 9 miles to 16 each way, but it's flat except for a couple of overpasses. I took about 8 months off the bike due to personal issues between jobs. I now ride to work 2 or 3 times a week, both directions. I can ride my bike faster than the public transportation. I commute on a road bike. And there are showers at work. I sweat a lot and after a 12 mile ride, you are going to need cleaning up.
You can do it! Just start out with every other day or cycling one direction. Start with something you can do easily and work your way up to back to back days, then more days per week.
You can do it!