N.Y. Multiple Dwelling Law § 310
2. Where the compliance with the strict letter of this chapter causes any practical difficulties or any unnecessary hardships the board shall have the power, on satisfactory proof at a public hearing, provided the spirit and intent of this chapter are maintained and public health, safety and welfare preserved and substantial justice done, to vary or modify any provision or requirement of this chapter, or of any rule, regulation, supplementary regulation, ruling or order of the department with respect to the provisions of this chapter, as follows: a. For multiple dwellings and buildings existing on July first, nineteen hundred forty-eight, in cities with a population of one million or more, and for multiple dwellings and buildings existing on November first, nineteen hundred forty-nine, in cities with a population of five hundred thousand or more but less than one million, provisions relating to: