On June 17, 1986, Conway was also named Acting Ontario Minister of Government Services, a position which he held until the dissolution of parliament in 1987. He was re-elected by a landslide in the 1987 provincial election, in which the Liberals won 95 of 130 seats. On September 29, 1987, he was named Government Government House Leader and Minister of Mines. Following a cabinet shuffle on August 2, 1989, he was again named Minister of Education, and also held the portfolios of Minister of Skills Development and Minister of Colleges and Universities.