The original Iroquois League (as the French knew them) or Five Nations (as the British knew them), occupied large areas of present-day New York State up to the St. Lawrence River, west of the Hudson River, and south into northwestern Pennsylvania. From east to west, the League was composed of the Mohawk, Oneida, Onondaga, Cayuga, and Seneca nations. In or close to 1722, the Tuscarora tribe joined the League, having migrated from the Carolinas after being displaced by Anglo-European settlement. Also an Iroquoian-speaking people, the Tuscarora were accepted into what became the Six Nations.

Answer this question based on the passage: where did the iroquois live in new york? Let's have some stream of consciousness first.
To answer the above question, the relevant sentence is: The original Iroquois League (as the French knew them) or Five Nations (as the British knew them), occupied large areas of present-day New York State up to the St. Lawrence River, west of the Hudson River, and south into northwestern Pennsylvania. So, the answer is large areas of present - day New York State up to the St. Lawrence River , west of the Hudson River , and south into northwestern Pennsylvania.