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Simplifying -5 + -8(5y + 7) = -9(-1y + 7) + 6 Reorder the terms: -5 + -8(7 + 5y) = -9(-1y + 7) + 6 -5 + (7 * -8 + 5y * -8) = -9(-1y + 7) + 6 -5 + (-56 + -40y) = -9(-1y + 7) + 6 Combine like terms: -5 + -56 = -61 -61 + -40y = -9(-1y + 7) + 6 Reorder the terms: -61 + -40y = -9(7 + -1y) + 6 -61 + -40y = (7 * -9 + -1y * -9) + 6 -61 + -40y = (-63 + 9y) + 6 Reorder the terms: -61 + -40y = -63 + 6 + 9y Combine like terms: -63 + 6 = -57 -61 + -40y = -57 + 9y Solving -61 + -40y = -57 + 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. -61 + -40y + -9y = -57 + 9y + -9y Combine like terms: -40y + -9y = -49y -61 + -49y = -57 + 9y + -9y Combine like terms: 9y + -9y = 0 -61 + -49y = -57 + 0 -61 + -49y = -57 Add '61' to each side of the equation. -61 + 61 + -49y = -57 + 61 Combine like terms: -61 + 61 = 0 0 + -49y = -57 + 61 -49y = -57 + 61 Combine like terms: -57 + 61 = 4 -49y = 4 Divide each side by '-49'. y = -0.08163265306 Simplifying y = -0.08163265306
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