N.Y. Elec. Law § 5-610
When an election district is created, abolished or altered in any way, the board of elections shall do all things necessary to transfer the affected registration records to conform to the new plan of election districts and shall make all necessary changes in the designation of the election district and political subdivision on the registration record of each voter affected. At least twenty days before the next election, after such new plan of election districts has been effected, the board of elections shall mail a written notice to each affected registered voter notifying him of the designation of the new political subdivision, if any, and the number of the election district to which his registration record has been transferred, and if available, the address of his polling place.
N.Y. Elec. Law § 5-610