Galvin entered politics when he was elected to the Canton Board of Library Trustees, where he served from 1979 to 1987.

He was then elected to the town's Board of Assessors, a position which he has held since 1987.

[2][3] In 1990, with incumbent Representative John H. Flood retiring to run for governor, Galvin sought the Democratic nomination for the 6th Norfolk District.

He won the primary with 57.4% of the vote and the general election with 44.4% against Canton Republican Avril T.

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