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Montoya's career began in the mid 1970s when Albert Collins asked him to join his band as drummer. Collins took Montoya under his wing and taught him his "icy hot" guitar style. The two remained friends even after Montoya left Collins' band.
In the early 1980s John Mayall heard Montoya playing guitar in a Los Angeles bar. Soon after Mayall asked Montoya to join the newly reformed Bluesbreakers. He remained a member of the band for 10 years.
In 2002, he featured on the Bo Diddley tribute album Hey Bo Diddley - A Tribute!, performing the song "Pills."
Montoya and his longtime girlfriend Lenora married in 2008. He has two daughters; Jasmin (born 1980) and Donna (born 1988).