pull out all the stops

to pull out all the stops (to do everything you can to make something successful) — стараться изо всех сил; из кожи вон лезть; сделать все возможное

Example 1: They pulled out all the stops for their daughter's wedding. (often + to do sth) — Он из кожи вон вылезли, когда готовили свадьбу дочери.
Example 2: The airline certainly pulled out all the stops to impress us. — Представители авиакомпании из кожи вон лезли, чтобы произвести хорошее впечатление на нас.
Example 3: He's going to pull out all the stops on on the exam / on his presentation.

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The stops are handles on an organ (= a large instrument used in churches), which you pull out when you want to play as loudly as possible.

see
[из кожи вон лезть]