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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 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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