N.Y. General City Law § 81-B
1. Definitions. As used in this section:
(b) No such use variance shall be granted by a board of appeals without a showing by the applicant that applicable zoning regulations and restrictions have caused unnecessary hardship. In order to prove such unnecessary hardship the applicant shall demonstrate to the board of appeals that for each and every permitted use under the zoning regulations for the particular district where the property is located:
(b) In making its determination, the zoning board of appeals shall take into consideration the benefit to the applicant if the variance is granted, as weighed against the detriment to the health, safety and welfare of the neighborhood or community by such grant. In making such determination the board shall also consider: