I'm sure it depends on the nationality of the author. , usually one refers to going "out west" and "back east," but not always. " Your interpretation seems reasonable, unless what follows makes that an obviously wrong conclusion.
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Grammar GeekI'm sure it depends on the nationality of the author. In the U.S., usually one refers to going "out west" and "back east," but not always. Someone who is a native of California, on the west coast, may think of traveling to the east coast as going "out east." Your interpretation seems reasonable, unless what follows makes that an obviously wrong conclusion.
This specifically refers to Eastern Long Island like the Hamptons.