Career
He competed at the 1956, 1960 and 1964 Olympics in eight events in total with the best result of fifth place in the 100 m freestyle in 1960. After the 1956 Olympics, Dobay defected to the United States due to the Soviet invasion of Hungary. He stayed there for 16 months, but failed to find a stable job and returned to Hungary.
After retiring from swimming he ran a sports shop in Budapest.