first-place finish vs win

first-place finish and win both are nouns.

Word	Noun	Adjective	Verb	Adverb
first-place finish	Yes	No	No	No
win	Yes	No	Yes	No

As nouns, win is a hypernym of first-place finish; that is, win is a word with a broader meaning than first-place finish:

first-place finish (noun)	win (noun)
a finish in first place (as in a race)	a victory (as in a race or other competition)
	something won (especially money)

first-place finish (verb)	win (verb)
	be the winner in a contest or competition; be victorious
	obtain advantages, such as points, etc.
	win something through one's efforts
	acquire or deserve by one's efforts or actions
	attain success or reach a desired goal