In NJ, I got a ticket doing 92 in a 65. The below applies to NJ, I'm not sure how NY is.
The NJ rules are 2 pts for the first 15 over, and then 4 points for 15-30 over. So I was close to 30 mph over. I pleaded not guilty and went to court.
I discovered that the first court date you can plead not guilty in person, and then have to go back again for a second court date and then the officer will be there. So I was not looking forward to fight the case, and need to take another vacation day and perhaps still have to pay the full fine. I never realized that the officer wont be there for the first court date, and is only called in for the second. No doubt, they arrange the second court date on a day and time when the officer can easily make it.
Anyway, so this was the first court date. I told the prosecutor that I was going with the flow of traffic, and don't think I was going 92. He offered that perhaps the judge would allow me to plead guilty to 80 in a 65, which would only be two points. He said usually he wont for speeds over about 90. But anyway - that would be a lower fine, and in NJ only two points can't increase your insurance. Hard not to accept. So the judge came in and allowed me to plead guilty to 80 in a 65. Saved a couple hundred bucks extra I would have had to pay NJ, and who knows how much my insurance might have gone up.
Win-win for the courts to, because if they didn't accept that plea, I'd might have plead not guilty, and taken perhaps an hour of the police officer's time, and more time from the court. So I bet they do this all the time.
Moral of the story? Buy a radar detector.