New York Laws
Article 4 - Management by Members or Managers
416 - Vacancies.

(b) Except as provided in the operating agreement, a manager chosen to
fill a vacancy shall serve the unexpired term of his or her predecessor.
(c) Except as provided in the operating agreement, any manager's
position filled by reason of an increase in the number of managers shall
be filled by the vote of a majority in interest of the members entitled
to vote thereon.
(d) Except as provided in the operating agreement, a manager chosen to
fill a position resulting from an increase in the number of managers
shall hold office until the next annual meeting of members or until a
successor has been elected and qualified.