What is another word for sate through?
Pronunciation: [sˈe͡ɪt θɹˈuː] (IPA) 
The phrase "sate through" indicates that someone has endured or completed an activity that they found unappealing or unpleasant. There are a number of colloquial synonyms that convey the same message, including "gut through," "grin and bear it," and "white-knuckle it." Other similar expressions include "stick it out," "soldier on," and "persevere to the bitter end." Each of these phrases speaks to the idea of enduring something even when it is not enjoyable or pleasant, and all are useful for describing situations in which someone has pushed themselves through an unpleasant experience despite the difficulties.
