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Simplifying 8[y + -1] + -9[y + -2] = 12 Reorder the terms: 8[-1 + y] + -9[y + -2] = 12 [-1 * 8 + y * 8] + -9[y + -2] = 12 [-8 + 8y] + -9[y + -2] = 12 Reorder the terms: -8 + 8y + -9[-2 + y] = 12 -8 + 8y + [-2 * -9 + y * -9] = 12 -8 + 8y + [18 + -9y] = 12 Reorder the terms: -8 + 18 + 8y + -9y = 12 Combine like terms: -8 + 18 = 10 10 + 8y + -9y = 12 Combine like terms: 8y + -9y = -1y 10 + -1y = 12 Solving 10 + -1y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 12 + -10 -1y = 12 + -10 Combine like terms: 12 + -10 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2
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