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Simplifying 6(y + 4) = -2(3y + -9) + 8y Reorder the terms: 6(4 + y) = -2(3y + -9) + 8y (4 * 6 + y * 6) = -2(3y + -9) + 8y (24 + 6y) = -2(3y + -9) + 8y Reorder the terms: 24 + 6y = -2(-9 + 3y) + 8y 24 + 6y = (-9 * -2 + 3y * -2) + 8y 24 + 6y = (18 + -6y) + 8y Combine like terms: -6y + 8y = 2y 24 + 6y = 18 + 2y Solving 24 + 6y = 18 + 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. 24 + 6y + -2y = 18 + 2y + -2y Combine like terms: 6y + -2y = 4y 24 + 4y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 4y = 18 + 0 24 + 4y = 18 Add '-24' to each side of the equation. 24 + -24 + 4y = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 4y = 18 + -24 4y = 18 + -24 Combine like terms: 18 + -24 = -6 4y = -6 Divide each side by '4'. y = -1.5 Simplifying y = -1.5
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