N.Y. Elec. Law § 9-122
Upon the completion of the canvass and of the returns of the canvass, the chair of the board of inspectors or an inspector under the scrutiny of an inspector of the opposite party shall make public oral proclamation of the total number of votes cast at the election at the polling place for all candidates for each office, or, if it be a primary election, the total number of party votes of each party so cast for all candidates for each office or party position; upon each ballot proposal, if any and the total number of write-in votes recorded for each office. As an alternative to such oral proclamation, such chair or inspector may cause to be posted the results tape(s), tally sheet(s), and any other materials necessary to ascertain such total numbers of votes cast.
N.Y. Elec. Law § 9-122