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Simplifying -5y + -8(5y + 7) = 5 + -7(-1 + -1y) Reorder the terms: -5y + -8(7 + 5y) = 5 + -7(-1 + -1y) -5y + (7 * -8 + 5y * -8) = 5 + -7(-1 + -1y) -5y + (-56 + -40y) = 5 + -7(-1 + -1y) Reorder the terms: -56 + -5y + -40y = 5 + -7(-1 + -1y) Combine like terms: -5y + -40y = -45y -56 + -45y = 5 + -7(-1 + -1y) -56 + -45y = 5 + (-1 * -7 + -1y * -7) -56 + -45y = 5 + (7 + 7y) Combine like terms: 5 + 7 = 12 -56 + -45y = 12 + 7y Solving -56 + -45y = 12 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -56 + -45y + -7y = 12 + 7y + -7y Combine like terms: -45y + -7y = -52y -56 + -52y = 12 + 7y + -7y Combine like terms: 7y + -7y = 0 -56 + -52y = 12 + 0 -56 + -52y = 12 Add '56' to each side of the equation. -56 + 56 + -52y = 12 + 56 Combine like terms: -56 + 56 = 0 0 + -52y = 12 + 56 -52y = 12 + 56 Combine like terms: 12 + 56 = 68 -52y = 68 Divide each side by '-52'. y = -1.307692308 Simplifying y = -1.307692308
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