equality is the adjective and equal is noun.
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A person that stands for equality is called an equal opportunist.
That's not an equality, since it doesn't have an equal sign.
Equality means the state of being equal, especially in status, rights, and opportunities.
Equality is the state or quality of being equal; correspondence in quantity, degree, value, rank, or ability. In math, it is a statement that two quantities are equal; equation.
It is equal to an algebraic expression because it does not contain an equality sign