living accommodations vs housing

living accommodations and housing both are nouns.

Word	Noun	Adjective	Verb	Adverb
living accommodations	Yes	No	No	No
housing	Yes	No	No	No

As nouns, living accommodations and housing are synonyms defined as:

living accommodations and housing: structures collectively in which people are housed

Other synonyms of living accommodations include lodging.

living accommodations (noun)	housing (noun)
structures collectively in which people are housed	structures collectively in which people are housed
	a protective cover designed to contain or support a mechanical component
	stable gear consisting of a decorated covering for a horse, especially (formerly) for a warhorse