Antonyms for "bringing pressure bear upon" could include "releasing pressure," "relaxing control," or "allowing freedom." These terms imply the opposite of exerting force or pressure on someone, implying a lack of manipulation or coercion. Instead, they suggest a more laid-back approach, where individuals are free to make their own choices and act according to their own volition. Overall, the opposite of "bringing pressure bear upon" is to allow people to be themselves without forcing them in any way, shape or form. This approach often leads to more authentic and positive relationships, where people feel valued and respected for who they are.