N.Y. Social Services Law § 74-A
ity and to be included in county tax levy. 1. The county shall administer in and for the city the public assistance and care for the administration of which the city is responsible and shall be entitled to all reimbursements and advances against reimbursements on account of the assistance and care so administered to which the city would otherwise be entitled and which would otherwise be payable to the city in accordance with the provisions of this chapter.