The word "brought pressure bear" implies exerting force or influence on someone or something. Its antonyms, on the other hand, signify the opposite. Instead of pushing or urging, they denote holding back, releasing or easing. Some antonyms for the phrase include, but are not limited to, relieved, unburdened, liberated, freed, or released. Bringing pressure bear can be effective, but it may also cause undue tension, stress, or discomfort. Thus, using the antonyms may be appropriate in certain situations, especially when seeking to harmonize, pacify, or balance things out.