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All answers having "New York city" as clue:

3 Character Answers:

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RYE



4 Character Answers:

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ROME

TROY



5 Character Answers:

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ELMRA

OLEAN

UTICA



6 Character Answers:

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ALBANY

ELMIRA

GOTHAM

ITHACA

ONEIDA

OSWEGO



7 Character Answers:

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BUFFALO

ONEONTA

YONKERS



8 Character Answers:

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BIGAPPLE

SYRACUSE



9 Character Answers:

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JAMESTOWN

ROCHESTER



10 Character Answers:

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WALLSTREET



11 Character Answers:

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THEBIGAPPLE



12 Character Answers:

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THEDELICIOUS