Will Obamacare raise unemployment?

Although I made straight A’s in school, politics confuses the hell out of me, because you just don’t know whether a politician is speaking truth or simply saying things to win votes. Anyway, I have a question about Obama’s healthcare plan. If businesses are mandated to provide coverage to their employees, and suppose these businesses can’t afford to do so and thus shut down, won’t that raise unemployment rates? Or, have I got it wrong?