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Simplifying -10 + 3(8 + 8y) = -6(y + -4) -10 + (8 * 3 + 8y * 3) = -6(y + -4) -10 + (24 + 24y) = -6(y + -4) Combine like terms: -10 + 24 = 14 14 + 24y = -6(y + -4) Reorder the terms: 14 + 24y = -6(-4 + y) 14 + 24y = (-4 * -6 + y * -6) 14 + 24y = (24 + -6y) Solving 14 + 24y = 24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 14 + 24y + 6y = 24 + -6y + 6y Combine like terms: 24y + 6y = 30y 14 + 30y = 24 + -6y + 6y Combine like terms: -6y + 6y = 0 14 + 30y = 24 + 0 14 + 30y = 24 Add '-14' to each side of the equation. 14 + -14 + 30y = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 30y = 24 + -14 30y = 24 + -14 Combine like terms: 24 + -14 = 10 30y = 10 Divide each side by '30'. y = 0.3333333333 Simplifying y = 0.3333333333
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