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Simplifying -2(y + 1) = -9y + 12 Reorder the terms: -2(1 + y) = -9y + 12 (1 * -2 + y * -2) = -9y + 12 (-2 + -2y) = -9y + 12 Reorder the terms: -2 + -2y = 12 + -9y Solving -2 + -2y = 12 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -2 + -2y + 9y = 12 + -9y + 9y Combine like terms: -2y + 9y = 7y -2 + 7y = 12 + -9y + 9y Combine like terms: -9y + 9y = 0 -2 + 7y = 12 + 0 -2 + 7y = 12 Add '2' to each side of the equation. -2 + 2 + 7y = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7y = 12 + 2 7y = 12 + 2 Combine like terms: 12 + 2 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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