If you take your name off the house in NY you could very well lose your bankruptcy discharge. You could also cause trouble for the people whose names remain on the deed because the bankruptcy trustee could then go after those people. If you were to remove your name from the deed you would be treated as having transferred your interest to the people who remain on the deed. Because the interest you transferred is valuable, and you would have given it away for no consideration, the transfer would be considered a "fraudulent transfer" and not only would it make you look bad in the eyes of the bankruptcy court, it would allow the bankruptcy trustee to sue the people whose names are still on the deed to recover the monetary value of the interest you gave up; if those people don't have a lot of money, they could be in a lot of trouble as well.
Please don't do it. Instead, consult with a competent local bankruptcy attorney to review all of your alternative courses of action.
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There may be some exemption for the home if you live there. You should talk to a bankruptcy lawyer. Taking your name off the deed may have serious consequences. Good luck.
I agree with the above attorneys' advice
the information provided above is for information purposes only and you should consult an attorney for specific answers to your case