do one’s thing—
1. act in a way commonly associated with the person:
- It’s quite amusing to listen to him doing his thing with tourists in the lounge bar.
2. follow one’s own interests or inclinations:
- I think, rather, she insists on doing her thing—what it pleases or suits her to do.
do the other thing—(in the phrase “one can do the other thing”) is used to express a refusal to bargain or compromise:
- I couldn’t have a better home and anybody who doesn’t like it can do the other thing.