How long will it take me to get skinny?

I'm about 5'8, 160-ish pounds, female. I'm not extremely fat, I have the lower stomach pooch, but only subtly, and large inner thighs, and kind of flabby arms, but otherwise I'm not completely covered in fat. I'm really tall, and I have wider hips. How long will it take me to lose this fat if i exercise daily?