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Simplifying -3y + -9(-6y + -8) = 8 + 5(-3 + -1y) Reorder the terms: -3y + -9(-8 + -6y) = 8 + 5(-3 + -1y) -3y + (-8 * -9 + -6y * -9) = 8 + 5(-3 + -1y) -3y + (72 + 54y) = 8 + 5(-3 + -1y) Reorder the terms: 72 + -3y + 54y = 8 + 5(-3 + -1y) Combine like terms: -3y + 54y = 51y 72 + 51y = 8 + 5(-3 + -1y) 72 + 51y = 8 + (-3 * 5 + -1y * 5) 72 + 51y = 8 + (-15 + -5y) Combine like terms: 8 + -15 = -7 72 + 51y = -7 + -5y Solving 72 + 51y = -7 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 72 + 51y + 5y = -7 + -5y + 5y Combine like terms: 51y + 5y = 56y 72 + 56y = -7 + -5y + 5y Combine like terms: -5y + 5y = 0 72 + 56y = -7 + 0 72 + 56y = -7 Add '-72' to each side of the equation. 72 + -72 + 56y = -7 + -72 Combine like terms: 72 + -72 = 0 0 + 56y = -7 + -72 56y = -7 + -72 Combine like terms: -7 + -72 = -79 56y = -79 Divide each side by '56'. y = -1.410714286 Simplifying y = -1.410714286
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