Weight loss and cheat meals

Two different things going on here.

Will you burn fat (i.e. lose weight)? Depends. If your binge was < 2000 calories then you will lose fat; if your binge was 2000+ cals, you will gain fat.

If you are asking only about water retention, again it depends, but a binge can lead to radical short-term water retention - for me, up to 14 pounds that gradually drains off over five days (most of it in the first three days). No amount of dieting immediately following a binge can balance out the weight gain I get from water retention.

Best not to binge. And as @KrissFlavored says, a binge and a cheat meal are two different things. Very different.

Are you new here? The idea of trying to burn 2000 in one day b/c of one day of overeating sounds really uninformed, which is why I ask.

If you ate 2000 calories over your maintenance cals, then maybe you slowed your weight loss to goal timeline by about a week. You don't need to do anything but think about how often you want to slow down your progress. I'm good with slowing it down by a day or so occasionally (once every month) and by a few days (cheesecake) once every few months. Generally, binging on food and then on exercise is an unsustainable pattern; you will injure yourself, for example, and quite possibly "give up" b/c you feel the situation is hopeless. It's not. Binging on food and then over-restricting is pretty unsustainable in the long run, too.

So, limit your overeating (which I define as eating over maintenance) and don't over-react to it, either. Plan those calories that you just cannot resist. Potato chips are a big trigger for me--if I try to go without. So I measure out and eat an ounce most days and am usually perfectly satisfied. If I eat more than I planned--hey, it happens--and I'm not particularly hungry, then I just count those cals as my allotment for the day. That's a crap way to eat in the long run, but one day of a "potato chip diet" every 6 months isn't going to kill me, either. And it has never happened more than once ever, anyway, so while I have a back up plan, I haven't needed it.

Losing weight is a long-term process, and once you truly accept that, you won't feel the need to try and correct a mistake "instantly."

Good luck moving forward.