1to carry something through to completion; to see something through; to accomplish without giving up.
彼は困難なプロジェクトを最後までやり抜いた。
He carried the difficult project through to the end.
この仕事は私がやり抜きます。任せてください。
I'll see this job through. Leave it to me.
マラソンは精神力が問われる。最後までやり抜くことが大事だ。
A marathon tests your mental strength. It's important to push through to the end.
始めたからには、責任を持ってやり抜いてほしい。
Now that you've started, I want you to carry it through responsibly.