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Simplifying 8(y + 2) + -7(y + 1) = 6 Reorder the terms: 8(2 + y) + -7(y + 1) = 6 (2 * 8 + y * 8) + -7(y + 1) = 6 (16 + 8y) + -7(y + 1) = 6 Reorder the terms: 16 + 8y + -7(1 + y) = 6 16 + 8y + (1 * -7 + y * -7) = 6 16 + 8y + (-7 + -7y) = 6 Reorder the terms: 16 + -7 + 8y + -7y = 6 Combine like terms: 16 + -7 = 9 9 + 8y + -7y = 6 Combine like terms: 8y + -7y = 1y 9 + 1y = 6 Solving 9 + 1y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1y = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 6 + -9 1y = 6 + -9 Combine like terms: 6 + -9 = -3 1y = -3 Divide each side by '1'. y = -3 Simplifying y = -3
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