even up vs counterbalance

even up is not a noun while counterbalance is a noun.

Word	Noun	Adjective	Verb	Adverb
even up	No	No	Yes	No
counterbalance	Yes	No	Yes	No

As verbs, even up and counterbalance are synonyms defined as:

Other synonyms of even up include compensate, correct, even off, even out, make up.

even up (noun)	counterbalance (noun)
	a weight that balances another weight
	a compensating equivalent
	equality of distribution

even up (verb)	counterbalance (verb)
even up the edges of a stack of paper, in printing	oppose and mitigate the effects of by contrary actions
adjust for	contrast with equal weight or force
	adjust for