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Simplifying 7(8 + -1y) + 9 = -9(y + -4) + -9 (8 * 7 + -1y * 7) + 9 = -9(y + -4) + -9 (56 + -7y) + 9 = -9(y + -4) + -9 Reorder the terms: 56 + 9 + -7y = -9(y + -4) + -9 Combine like terms: 56 + 9 = 65 65 + -7y = -9(y + -4) + -9 Reorder the terms: 65 + -7y = -9(-4 + y) + -9 65 + -7y = (-4 * -9 + y * -9) + -9 65 + -7y = (36 + -9y) + -9 Reorder the terms: 65 + -7y = 36 + -9 + -9y Combine like terms: 36 + -9 = 27 65 + -7y = 27 + -9y Solving 65 + -7y = 27 + -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. 65 + -7y + 9y = 27 + -9y + 9y Combine like terms: -7y + 9y = 2y 65 + 2y = 27 + -9y + 9y Combine like terms: -9y + 9y = 0 65 + 2y = 27 + 0 65 + 2y = 27 Add '-65' to each side of the equation. 65 + -65 + 2y = 27 + -65 Combine like terms: 65 + -65 = 0 0 + 2y = 27 + -65 2y = 27 + -65 Combine like terms: 27 + -65 = -38 2y = -38 Divide each side by '2'. y = -19 Simplifying y = -19
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