The antonyms for the phrase "move the side" can depend on the context. In terms of physical movement, antonyms could include "stay still," "remain stationary," or "keep in place." In a figurative sense, antonyms for "move the side" could include "maintain the status quo," "preserve the current situation," or "refrain from making any changes." The opposite action of "moving the side" in a conflict or negotiation might be "compromise," "collaborate," or "cooperate." Ultimately, the antonyms for "move the side" will vary depending on the specific circumstances and desired outcome.