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Simplifying 7(y + 8) = 9(6 + -1y) Reorder the terms: 7(8 + y) = 9(6 + -1y) (8 * 7 + y * 7) = 9(6 + -1y) (56 + 7y) = 9(6 + -1y) 56 + 7y = (6 * 9 + -1y * 9) 56 + 7y = (54 + -9y) Solving 56 + 7y = 54 + -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. 56 + 7y + 9y = 54 + -9y + 9y Combine like terms: 7y + 9y = 16y 56 + 16y = 54 + -9y + 9y Combine like terms: -9y + 9y = 0 56 + 16y = 54 + 0 56 + 16y = 54 Add '-56' to each side of the equation. 56 + -56 + 16y = 54 + -56 Combine like terms: 56 + -56 = 0 0 + 16y = 54 + -56 16y = 54 + -56 Combine like terms: 54 + -56 = -2 16y = -2 Divide each side by '16'. y = -0.125 Simplifying y = -0.125
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