He was an unsuccessful candidate for reelection. While in the Senate, Nye was chairman of the Committee on Enrolled Bills (Thirty-ninth Congress), a member of the Committees on Revolutionary Claims (Fortieth Congress), and a member of the Committee on Territories (Forty-first Congress).
Nye was unsuccessful in his bid for reelection. During his time in the Senate, he held positions including chairman of the Enrolled Bills Committee (Thirty-ninth Congress), a member of the Revolutionary Claims Committee (Fortieth Congress), and a member of the Territories Committee (Forty-first Congress).