Brain sides artistic vs analytical?

So I've taken psychology twice and know that the right side of the brain is artistic and the left side is analytical. I was playing the free flow game for the iPhone and couldn't figure out a way to get the pipes to line up properly therefore proving that I don't have a strategic type mind. That I can't analyze properly or something. I'm 19. I'm an intelligent human being. But my little 13 year old sister figured out the puzzle in about 5 seconds when I spent about 5 min trying to figure it out. I felt like a complete idiot. I'm not artistic in any way either. I understand emotion and would love to be a counseling psychologist. It's the only thing I'm good at is abstract thinking which I'm guessing is emotions and psychology. I don't know which side of the brain that would be. But I feel so dumb that she figured it out so fast. I just don't get it why I can't think like that… Can someone tell me what I'm intelligence wise?

No it's the other way around… The left hemisphere has to do with language and creativity, like your artistic side; and the right side is all about the math and all things analytical