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Simplifying 8 + -1(y + 9) = -2y + 12 Reorder the terms: 8 + -1(9 + y) = -2y + 12 8 + (9 * -1 + y * -1) = -2y + 12 8 + (-9 + -1y) = -2y + 12 Combine like terms: 8 + -9 = -1 -1 + -1y = -2y + 12 Reorder the terms: -1 + -1y = 12 + -2y Solving -1 + -1y = 12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -1 + -1y + 2y = 12 + -2y + 2y Combine like terms: -1y + 2y = 1y -1 + 1y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 -1 + 1y = 12 + 0 -1 + 1y = 12 Add '1' to each side of the equation. -1 + 1 + 1y = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 1y = 12 + 1 1y = 12 + 1 Combine like terms: 12 + 1 = 13 1y = 13 Divide each side by '1'. y = 13 Simplifying y = 13
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