Borca studied music at the University of Wisconsin with John Barrows and Arthur Weisberg, graduating in 1971. While there she met Cecil Taylor, who taught there during the 1970/71 academic year. She studied with him and played in his big bands, ensembles and the Cecil Taylor Unit, and was his assistant at Antioch College, Ohio, in the Black Music Program.
She performed with her own bands at the Newport Jazz Festival New York City Salute to Women in Jazz, "78 & "79, Soundscape, Vision Festival, Jazz Fest Berlin and other festivals, concerts, clubs and lofts. She has continued performing with her own bands in the Lower East Side of New York City, the United States. and Europe, and with musicians such as Cecil Taylor, William Parker, Bill Dixon, Butch Morris, Marco Eneidi, Joel Futterman, Sonny Simmons, Alan Silva, and Jackson Krall.
