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Simplifying 7(y + 2) = -3(4y + -8) + 4y Reorder the terms: 7(2 + y) = -3(4y + -8) + 4y (2 * 7 + y * 7) = -3(4y + -8) + 4y (14 + 7y) = -3(4y + -8) + 4y Reorder the terms: 14 + 7y = -3(-8 + 4y) + 4y 14 + 7y = (-8 * -3 + 4y * -3) + 4y 14 + 7y = (24 + -12y) + 4y Combine like terms: -12y + 4y = -8y 14 + 7y = 24 + -8y Solving 14 + 7y = 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. 14 + 7y + 8y = 24 + -8y + 8y Combine like terms: 7y + 8y = 15y 14 + 15y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 14 + 15y = 24 + 0 14 + 15y = 24 Add '-14' to each side of the equation. 14 + -14 + 15y = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 15y = 24 + -14 15y = 24 + -14 Combine like terms: 24 + -14 = 10 15y = 10 Divide each side by '15'. y = 0.6666666667 Simplifying y = 0.6666666667
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