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Simplifying -5y + 1(-2y + -5) = 7 + -8(1 + -1y) Reorder the terms: -5y + 1(-5 + -2y) = 7 + -8(1 + -1y) -5y + (-5 * 1 + -2y * 1) = 7 + -8(1 + -1y) -5y + (-5 + -2y) = 7 + -8(1 + -1y) Reorder the terms: -5 + -5y + -2y = 7 + -8(1 + -1y) Combine like terms: -5y + -2y = -7y -5 + -7y = 7 + -8(1 + -1y) -5 + -7y = 7 + (1 * -8 + -1y * -8) -5 + -7y = 7 + (-8 + 8y) Combine like terms: 7 + -8 = -1 -5 + -7y = -1 + 8y Solving -5 + -7y = -1 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -5 + -7y + -8y = -1 + 8y + -8y Combine like terms: -7y + -8y = -15y -5 + -15y = -1 + 8y + -8y Combine like terms: 8y + -8y = 0 -5 + -15y = -1 + 0 -5 + -15y = -1 Add '5' to each side of the equation. -5 + 5 + -15y = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -15y = -1 + 5 -15y = -1 + 5 Combine like terms: -1 + 5 = 4 -15y = 4 Divide each side by '-15'. y = -0.2666666667 Simplifying y = -0.2666666667
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