The phrase "on someone's behalf" suggests that someone is acting in the interest or support of another person. There are several synonyms that can be used instead of this phrase, including "in behalf of," "for," "on account of," "in the name of," and "representing." These terms convey the idea of speaking or acting for someone else, whether it is in a legal, emotional, or professional context. Using these synonyms in writing or conversation can add variation and nuance to communication, making it clearer and more impactful to the listener or reader.