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Phrase(s): Don’t throw the baby out with the bathwater.
Prov. Do not discard something valuable in your eagerness to get rid of some useless thing associated with it. • Jill: As long as I’m selling all the books Grandpa had, I might as well sell the bookcases, too. Jane: Don’t throw the baby out with the bathwater. You can use the bookcases for something else.
McGrawhill's American Idioms And Phrasal Verbs