en.m.wikipedia.org/Bollywood
The name "Bollywood" is a portmanteau derived from Bombay (the former name for Mumbai) and Hollywood (in California), the center of the American film industry.[14]
https://www.merriam-webster.com/dictionary/Bollywood
Origin and Etymology of bollywood
Bombay (Mumbai), traditional center of the Indian film industry + Hollywood
First Known Use: 1969