Born in Findlay, Ohio, Guyer was educated in the public schools of Findlay, and performed at a young age with the Hagenback-Wallace Circus. He received a B.S. from Findlay College in 1934, and afterwards became an ordained minister. Guyer served as mayor of Celina, Ohio from 1940 to 1944, and later became a member of the state central committee from 1954 to 1966.

Guyer was the public affairs director for Cooper Tire & Rubber Co. in Findlay from 1950 to 1972, and was a member of the Ohio State Senate from 1959 to 1972. He was also a delegate to the Ohio State Republican conventions each year from 1950 to 1957, and was a delegate to the Republican National Convention in 1956. He was elected as a Republican to the Ninety-third and to the four succeeding Congresses, serving Ohio's District 4 in the United States House of Representatives. All in all, he served from January 3, 1973 until his death on April 12, 1981. He died in Alexandria, Virginia, and was interred in Maple Grove Cemetery in Findlay.