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Simplifying 6(y + 5) = -5(2y + -8) + 8y Reorder the terms: 6(5 + y) = -5(2y + -8) + 8y (5 * 6 + y * 6) = -5(2y + -8) + 8y (30 + 6y) = -5(2y + -8) + 8y Reorder the terms: 30 + 6y = -5(-8 + 2y) + 8y 30 + 6y = (-8 * -5 + 2y * -5) + 8y 30 + 6y = (40 + -10y) + 8y Combine like terms: -10y + 8y = -2y 30 + 6y = 40 + -2y Solving 30 + 6y = 40 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 30 + 6y + 2y = 40 + -2y + 2y Combine like terms: 6y + 2y = 8y 30 + 8y = 40 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + 8y = 40 + 0 30 + 8y = 40 Add '-30' to each side of the equation. 30 + -30 + 8y = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 8y = 40 + -30 8y = 40 + -30 Combine like terms: 40 + -30 = 10 8y = 10 Divide each side by '8'. y = 1.25 Simplifying y = 1.25
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