gypsy dancing vs flamenco

gypsy dancing and flamenco both are nouns.

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

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

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

gypsy dancing (noun)	flamenco (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