take-home pay vs earnings

take-home pay and earnings both are nouns.

Word	Noun	Adjective	Verb	Adverb
take-home pay	Yes	No	No	No
earnings	Yes	No	No	No

As nouns, earnings is a hypernym of take-home pay; that is, earnings is a word with a broader meaning than take-home pay:

take-home pay: what is left of your pay after deductions for taxes and dues and insurance etc
earnings: something that remunerates

Other hypernyms of take-home pay include pay, remuneration, salary, wage.

take-home pay (noun)	earnings (noun)
what is left of your pay after deductions for taxes and dues and insurance etc	something that remunerates
	the excess of revenues over outlays in a given period of time (including depreciation and other non-cash expenses)