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Simplifying -2(y + 12) = y + 9 Reorder the terms: -2(12 + y) = y + 9 (12 * -2 + y * -2) = y + 9 (-24 + -2y) = y + 9 Reorder the terms: -24 + -2y = 9 + y Solving -24 + -2y = 9 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -24 + -2y + -1y = 9 + y + -1y Combine like terms: -2y + -1y = -3y -24 + -3y = 9 + y + -1y Combine like terms: y + -1y = 0 -24 + -3y = 9 + 0 -24 + -3y = 9 Add '24' to each side of the equation. -24 + 24 + -3y = 9 + 24 Combine like terms: -24 + 24 = 0 0 + -3y = 9 + 24 -3y = 9 + 24 Combine like terms: 9 + 24 = 33 -3y = 33 Divide each side by '-3'. y = -11 Simplifying y = -11
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