Instead of "bringing pressure to bear upon," one can use the antonym, which would be "letting things be." Instead of pressuring others to do something, one can let things unfold naturally and not force any action. Another antonym would be "releasing pressure," which means to reduce or completely remove pressure. It's about creating a stress-free environment and allowing individuals to make their own choices without any coercion or persuasion. Another antonym for "bringing pressure to bear upon" could be "relaxing control." Instead of controlling the situation, one can allow a more relaxed approach, trusting individuals to make the right decisions.