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Simplifying -6y + -5(-3y + -5) = 8 + -7(1 + -1y) Reorder the terms: -6y + -5(-5 + -3y) = 8 + -7(1 + -1y) -6y + (-5 * -5 + -3y * -5) = 8 + -7(1 + -1y) -6y + (25 + 15y) = 8 + -7(1 + -1y) Reorder the terms: 25 + -6y + 15y = 8 + -7(1 + -1y) Combine like terms: -6y + 15y = 9y 25 + 9y = 8 + -7(1 + -1y) 25 + 9y = 8 + (1 * -7 + -1y * -7) 25 + 9y = 8 + (-7 + 7y) Combine like terms: 8 + -7 = 1 25 + 9y = 1 + 7y Solving 25 + 9y = 1 + 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. 25 + 9y + -7y = 1 + 7y + -7y Combine like terms: 9y + -7y = 2y 25 + 2y = 1 + 7y + -7y Combine like terms: 7y + -7y = 0 25 + 2y = 1 + 0 25 + 2y = 1 Add '-25' to each side of the equation. 25 + -25 + 2y = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 2y = 1 + -25 2y = 1 + -25 Combine like terms: 1 + -25 = -24 2y = -24 Divide each side by '2'. y = -12 Simplifying y = -12
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