Antonyms for the phrase "bringing pressure to bear" would include words such as relaxing, easing up, backing off, loosening, releasing, and unwinding. These words imply the opposite of exerting force or pressure in order to achieve a desired outcome. Relaxing, for example, suggests a state of calmness and ease, while easing up and backing off imply a slowing down or ceasing of pressure. Loosening and releasing suggest a letting go of something, while unwinding implies a process of untangling and unraveling. Interestingly, all of these antonyms suggest a state of emotional or physical release and relaxation, which is the opposite of the tension and urgency implied by the phrase "bringing pressure to bear".