equation vs egality

equation and egality both are nouns.

Word	Noun	Adjective	Verb	Adverb
equation	Yes	No	No	No
egality	Yes	No	No	No

As nouns, egality is a hyponym of equation; that is, egality is a word with a more specific, narrower meaning than equation:

equation: a state of being essentially equal or equivalent; equally balanced
egality: social and political equality

Other hyponyms of equation include egalite, tie.

equation (noun)	egality (noun)
the act of regarding as equal	social and political equality
a mathematical statement that two expressions are equal
a state of being essentially equal or equivalent; equally balanced