There are a variety of synonyms for the phrase "send packing". One common term is "dismiss", which suggests a more formal or professional separation. "Terminate" or "fire" are harsher options, indicating that a person's employment has come to an end. "Boot out" or "expel" are more informal, but still convey a sense of forceful removal. "Eject" is a more physical term, implying the subject is being physically removed from a space. "Sack" is another informal option, often used in the context of firing or letting go. No matter which synonym is used, the idea remains the same: someone is being removed from a situation or job.