New York is found on the east of the United States.

New York is a prominent city located on the eastern side of the United States. This area touches the Atlantic Ocean, and cities along this area are referred to as being on the "East Coast." The word "coast" refers to land next to the sea or ocean. Therefore, when we say New York is on the east of the U.S., we mean it lies on the east coast, making "coast" the correct word to complete the sentence.