verb/ˌdaɾ el ˌbɾaθo a toɾˈθeɾ/
to give in or give way, concede one's opinions, allow yourself to be persuaded
“Con todo, el Ejecutivo británico no dio su brazo a torcer, asestando otro duro golpe a la industria turística española.” — However, the British government did not give in, dealing another severe blow to the Spanish tourism industry.
Literally, “to give one's arm to twist”. It comes from the strength sport of arm wrestling.