The phrase "faced one's punishment" can be exchanged with a variety of synonyms depending on the context. One could say that someone "received their comeuppance," meaning the consequences they faced were deserved and expected. Alternatively, one could say they "paid the price," which implies that they suffered as a result of their actions. Another option would be to say they "got what was coming to them," indicating that the person deserved the punishment they received. Lastly, one could say they "endured the consequences," meaning they experienced the aftermath of their actions. Each of these synonyms captures a slightly different nuance of the original phrase, allowing for greater specificity and clarity in communication.