"Six one and half dozen the other" is an idiom meaning that two options are basically the same or that there's no significant difference between the alternatives. It can also reflect a situation where neither option seems favorable. Some potential synonyms for this phrase include "tomato/tomahto," "flip of a coin," "six of one, half a dozen of the other," "much of a muchness," "same difference," "no matter which way you slice it," or "you can't win either way." Each of these expressions conveys a similar idea of the relative neutrality or indifference of two options or outcomes, and highlights the ambiguity or uncertainty of a given situation.