well-being vs wellbeing

well-being and wellbeing both are nouns.

Word	Noun	Adjective	Verb	Adverb
well-being	Yes	No	No	No
wellbeing	Yes	No	No	No

As nouns, well-being and wellbeing are synonyms defined as:

well-being and wellbeing: a contented state of being happy and healthy and prosperous

Other synonyms of well-being include eudaemonia, eudaimonia, upbeat, welfare.

well-being (noun)	wellbeing (noun)
a contented state of being happy and healthy and prosperous	a contented state of being happy and healthy and prosperous