N.Y. Priv. Hous. Fin. Law § 217
When title to real property has vested in a redevelopment corporation or city by gift, grant, devise, purchase or in acquisition proceedings or otherwise, the redevelopment corporation or city, as the case may be, may in accordance with the provisions of the eminent domain procedure law agree with the previous owners of such property, or any tenants continuing to occupy or use it, or any other persons who may occupy or use or seek to occupy or use such property, that such former owner, tenant or other persons may occupy or use such property upon the payment of a fixed sum of money for a definite term or upon the payment periodically of an agreed sum of money.
In the event that a city has acquired real property for a redevelopment corporation, the city shall, in transferring title to the redevelopment corporation, deduct from the consideration or other moneys which the redevelopment corporation has become obligated to pay to the city for such purpose, and credit the redevelopment corporation with, the amounts received by the city as payment for temporary occupation and use of the real property by a former owner, tenant, or other person, as in this section two hundred seventeen provided, less the cost and expense incurred by the city for the maintenance and operation of such real property.
N.Y. Priv. Hous. Fin. Law § 217