прогибаться под(Youtube caves in to mainstream media pressure, deletes channel of independent host. Media giant YouTube caved to the liberal outrage mob and deleted the channel of independent reporter Harrison Smith after leftwing outlet Media Matters published a hit piece slamming his cutting-edge reports Taras)
поддаваться(On a trip to the western Ukrainian city of Ternopil earlier this month, Mr. Zelensky was met by a crowd chanting "Shame! Shame!" for caving in to Russia's demands. I. Havkin)