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Simplifying 7(y + 3) + -6(y + 2) = 8 Reorder the terms: 7(3 + y) + -6(y + 2) = 8 (3 * 7 + y * 7) + -6(y + 2) = 8 (21 + 7y) + -6(y + 2) = 8 Reorder the terms: 21 + 7y + -6(2 + y) = 8 21 + 7y + (2 * -6 + y * -6) = 8 21 + 7y + (-12 + -6y) = 8 Reorder the terms: 21 + -12 + 7y + -6y = 8 Combine like terms: 21 + -12 = 9 9 + 7y + -6y = 8 Combine like terms: 7y + -6y = 1y 9 + 1y = 8 Solving 9 + 1y = 8 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 = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 8 + -9 1y = 8 + -9 Combine like terms: 8 + -9 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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