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Simplifying 4(y + 7) = -3(5y + -8) + 7y Reorder the terms: 4(7 + y) = -3(5y + -8) + 7y (7 * 4 + y * 4) = -3(5y + -8) + 7y (28 + 4y) = -3(5y + -8) + 7y Reorder the terms: 28 + 4y = -3(-8 + 5y) + 7y 28 + 4y = (-8 * -3 + 5y * -3) + 7y 28 + 4y = (24 + -15y) + 7y Combine like terms: -15y + 7y = -8y 28 + 4y = 24 + -8y Solving 28 + 4y = 24 + -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 = 24 + -8y + 8y Combine like terms: 4y + 8y = 12y 28 + 12y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 28 + 12y = 24 + 0 28 + 12y = 24 Add '-28' to each side of the equation. 28 + -28 + 12y = 24 + -28 Combine like terms: 28 + -28 = 0 0 + 12y = 24 + -28 12y = 24 + -28 Combine like terms: 24 + -28 = -4 12y = -4 Divide each side by '12'. y = -0.3333333333 Simplifying y = -0.3333333333
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