N.Y. SCC Law § 34

§ 34. Powers. The common council shall determine the rules of its own\nproceedings and be the judge of the election, returns and qualifications\nof its members. Its meetings shall be public and its records open to\npublic inspection, and a majority of all its members shall constitute a\nquorum to do business. The common council may compel the attendance of\nabsent members at any meeting properly called, and may punish or expel a\nmember for disorderly conduct, for a violation of its rules or for\nofficial misconduct, or declare his seat vacant by reason of absence,\nprovided such absence has continued for the space of two months; but no\nexpulsion shall take place and no vacancy on account of absence be\ndeclared except by the vote of three-fourths of all the members of the\ncommon council, nor until the delinquent member has had an opportunity\nto be heard in his defense. All appointments or designations made by the\ncommon council shall be determined upon a vote taken by a roll call of\nits members, and a statement of the choice of each member or the yeas\nand nays, if any, shall be entered upon the journal.\n