Throughout his teaching career, Hyman was active as a labor arbitrator, both in the public and private sectors. He also served as chair, board member, committee chair or committee member of such organizations as the City of Buffalo's Charter Revision Commission, the Community Welfare Council of Buffalo and Erie County, the Citizens Council on Human Rights, the Children's Aid Society and the Legal Aid Society of Buffalo and Erie County. Devoted to what some saw as "his" law school, Hyman also championed the university, working hard in support of its merger into the SUNY system in 1963 and later serving as the first chair of the President's Review Board.
Throughout his teaching career, Hyman was engaged in multiple capacities, including labor mediation in both public and private sectors. He also held leadership positions within organizations such as the City of Buffalo's Charter Revision Commission, the Community Welfare Council, the Citizens Council on Human Rights, the Children's Aid Society, and the Legal Aid Society.