We live in New York State. My daughter owes a medical debt and a judgement was obtained against her. The original debt was around $1400. Interest has been added and the debt has grown to almost $1800.
Is it legal to add interest to a medical debt?
How long will the judgement last?
Is it worth trying to negotiate the amount owed down?

Yes
10 years but can be renewed for at least another 10
Yes

Once the debt became past due, its legal to add interest on it. Its also legal to tack on the costs of collection.

Unless you can pay a lumpsum, I doubt if they will accept a settlement. Since they already have the judgement, they can garnish her salary or attach bank accounts. So they hve little incentive to settle.

Normally after they have a judgement, they have little concern to settle.
The time to settle was before they got the judgement.