Here's what rhymes with sluchae.
guy chi quae kai by my high why die lie thy y buy cry sky tie vi hi shy sigh bi bye dye fi hy nigh pi pie thai thigh vie dei ly psi rye ty wir awry hai lye mai muy nai wry cy fy lai luy mei sy tai thei wai phi aquae lanai apply dry try fly rely spy verify fry ply sly alibi pry tri trie pri untie sty amebae horrify stye turfy scurfy drachmai slier supply reply thereby deny occupy hereby alkali defy certify goodbye nullify ratify unify belie decry falsify lullaby pupae terrify amoebae edify mollify ramify vilify deify ossify retry spry scarify versify shanghai vitrify ripply banzais yuppify imply justify nearby satisfy stimuli whereby clarify comply modify nuclei qualify specify classify signify simplify testify glorify gratify notify purify underlie alveoli amplify fortify magnify pacify rectify samurai standby solidify termini typify codify crucify descry liquefy overlie resupply acidify bonsai firefly mystify stratify stultify triply ultrahigh vivify blowfly calcify petrify reunify stupefy liquify overfly barfly mummify prettify speechify overbuy syllabify multiply butterfly diversify beautify dignify mortify oversupply personify dragonfly preoccupy emulsify misapply hyperbolae beatify refortify dandify solemnify identify exemplify quantify disqualify objectify demystify detoxify electrify reclassify revivify cumuli dissatisfy declassify gentrify intensify indemnify oversimplify misidentify transmogrify