Here's what rhymes with shoying.
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moyen doyen voicing soiling voiding oiling foiling hoicking avoiding boiling joining coining hoisting spoiling toiling coiling roiling foisting poising moiling noising oinking coiffing coifing pointing adjoining broiling jointing quoiting appointing rejoicing anointing enjoining recoiling rejoining despoiling purloining uncoiling subjoining reboiling conjoining embroiling disjointing outpointing charbroiling disappointing reappointing reconnoitring counterpointing