Conversation so far:
What was Gloria Estefan up to in the mid 1970s?
In 1975, Gloria Estefan and her cousin Mercedes impressed the Miami Latin Boys and they were invited to join the band permanently with the band's name changing to Miami Sound Machine.
Were the Miami Sound Machine successful in the 1970s?
Miami Sound Machine released the album Primitive Love in 1985 launching three Top 10 hits on the Billboard Hot 100
What was Miami Sound Machine's biggest hit?
Miami Sound Machine's Anything for You became a number-one song in the United States summer of 1988; it was Miami Sound Machine's first number-one hit.
Did Miami Sound Machine go on tour?
After a massive world tour that ran from 1985-1986, some  band members left Miami Sound Machine.

Question: What else happened during this period?
Self-contained rewrite: What else happened to Gloria Estefan during the 1980s besides her work with the Miami Sound Machine?