Which property of equality does this represent If x and ndash 12 y then x y plus 12.?

The property of equality represented in the equation ( x - 12 = y ) leading to ( x = y + 12 ) is the Addition Property of Equality. This property states that if you add the same value to both sides of an equation, the equality remains balanced. In this case, adding 12 to both sides of ( x - 12 = y ) yields ( x = y + 12 ).