How long do points stay on your license in NY?

I got caught in a speed trap (again) and got a speeding ticket today. I think I was 14–15 over the limit or so.

About a year ago, I got a ticket so this is my second one. :(
It stinks because it’s always in the same speed trap and I’ve never been given a warning. I’ve only been pulled over 2x and I got a ticket each time. :( It makes me feel like a terrible person. I nearly burst into tears because I feel so bad. (yes I’m pathetic)

Anyway, I’m wondering…in NYS, how long does it take for the points to fall off? Thanks.