flamenco vs gypsy dancing

flamenco and gypsy dancing both are nouns.

Word	Noun	Adjective	Verb	Adverb
flamenco	Yes	No	No	No
gypsy dancing	Yes	No	No	No

As nouns, flamenco and gypsy dancing are synonyms defined as:

flamenco and gypsy dancing: a style of dancing characteristic of the Andalusian Gypsies; vigorous and rhythmic with clapping and stamping of feet

flamenco (noun)	gypsy dancing (noun)
a style of dancing characteristic of the Andalusian Gypsies; vigorous and rhythmic with clapping and stamping of feet	a style of dancing characteristic of the Andalusian Gypsies; vigorous and rhythmic with clapping and stamping of feet
guitar music composed for dancing the flamenco