Complex sentence: That same year, he recorded with Barney Kessel; soon after he played in the bands of Benny Goodman and Red Norvo; with Norvo he toured Australia backing Frank Sinatra.
Split into simpler sentences: That same year, he recorded with Barney Kessel. Soon after he played in the bands of Benny Goodman and Red Norvo; with Norvo he toured Australia backing Frank Sinatra.