That's not how the sources and uses of the debt issuance worked in this instance. CBS Corporation received cash from the parties who bought the debt. More specifically, CBS Radio as issuer conveyed the cash it received from the private debt placement to CBS Corporation.
The original plan was to spin off CBS Radio as its own company. So CBS set up an IPO for CBS Radio before Entercom or anyone else was involved:
CBS Corp. to Spin Off Radio Unit
CBS Radio operates 117 radio stations in 26 markets, including New York and Los Angeles.
The spin off idea came in July. Entercom entered the picture a few months later.