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Simplifying 3(y + 2) + -6(y + -3) = 9y + 24 + -12y Reorder the terms: 3(2 + y) + -6(y + -3) = 9y + 24 + -12y (2 * 3 + y * 3) + -6(y + -3) = 9y + 24 + -12y (6 + 3y) + -6(y + -3) = 9y + 24 + -12y Reorder the terms: 6 + 3y + -6(-3 + y) = 9y + 24 + -12y 6 + 3y + (-3 * -6 + y * -6) = 9y + 24 + -12y 6 + 3y + (18 + -6y) = 9y + 24 + -12y Reorder the terms: 6 + 18 + 3y + -6y = 9y + 24 + -12y Combine like terms: 6 + 18 = 24 24 + 3y + -6y = 9y + 24 + -12y Combine like terms: 3y + -6y = -3y 24 + -3y = 9y + 24 + -12y Reorder the terms: 24 + -3y = 24 + 9y + -12y Combine like terms: 9y + -12y = -3y 24 + -3y = 24 + -3y Add '-24' to each side of the equation. 24 + -24 + -3y = 24 + -24 + -3y Combine like terms: 24 + -24 = 0 0 + -3y = 24 + -24 + -3y -3y = 24 + -24 + -3y Combine like terms: 24 + -24 = 0 -3y = 0 + -3y -3y = -3y Add '3y' to each side of the equation. -3y + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 0 = -3y + 3y Combine like terms: -3y + 3y = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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