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Simplifying 4(y + 7) = -2(8y + -9) + 8y Reorder the terms: 4(7 + y) = -2(8y + -9) + 8y (7 * 4 + y * 4) = -2(8y + -9) + 8y (28 + 4y) = -2(8y + -9) + 8y Reorder the terms: 28 + 4y = -2(-9 + 8y) + 8y 28 + 4y = (-9 * -2 + 8y * -2) + 8y 28 + 4y = (18 + -16y) + 8y Combine like terms: -16y + 8y = -8y 28 + 4y = 18 + -8y Solving 28 + 4y = 18 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 28 + 4y + 8y = 18 + -8y + 8y Combine like terms: 4y + 8y = 12y 28 + 12y = 18 + -8y + 8y Combine like terms: -8y + 8y = 0 28 + 12y = 18 + 0 28 + 12y = 18 Add '-28' to each side of the equation. 28 + -28 + 12y = 18 + -28 Combine like terms: 28 + -28 = 0 0 + 12y = 18 + -28 12y = 18 + -28 Combine like terms: 18 + -28 = -10 12y = -10 Divide each side by '12'. y = -0.8333333333 Simplifying y = -0.8333333333
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