N.Y. Real Prop. Tax Law § 1218

§ 1218. Review of final determinations of state board of real property\ntax services relating to state equalization rates. A final determination\nof the state board of real property tax services relating to state\nequalization rates may be reviewed by commencing an action in the\nappellate division of the supreme court in the manner provided by\narticle seventy-eight of the civil practice law and rules upon\napplication of the county, city, town or village for which the rate or\nrates were established. The standard of review in such a proceeding\nshall be as specified in subdivision four of section seventy-eight\nhundred three of the civil practice law and rules. Whenever a final\norder is issued in such a proceeding directing a revised state\nequalization rate, any county, village or school district that used the\nformer rate in the apportionment of taxes must, upon receipt of such\nfinal order, recalculate the levy that used such former rate and credit\nor debit as appropriate its constituent municipalities in its next levy.\nAny special franchise assessments that were established using the former\nrate must, upon receipt of such final order, be revised by the state\nboard in accordance with the new rate, and, if taxes have already been\nlevied upon such assessments, the affected special franchise owners\nshall either automatically receive a refund if there is a decrease or be\ntaxed on an increase in the next levy in the manner provided for omitted\nparcels in title three of article five of this chapter.\n