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Simplifying 8 + -7(y + -1) + 3(2y + 3) = -4y Reorder the terms: 8 + -7(-1 + y) + 3(2y + 3) = -4y 8 + (-1 * -7 + y * -7) + 3(2y + 3) = -4y 8 + (7 + -7y) + 3(2y + 3) = -4y Reorder the terms: 8 + 7 + -7y + 3(3 + 2y) = -4y 8 + 7 + -7y + (3 * 3 + 2y * 3) = -4y 8 + 7 + -7y + (9 + 6y) = -4y Reorder the terms: 8 + 7 + 9 + -7y + 6y = -4y Combine like terms: 8 + 7 = 15 15 + 9 + -7y + 6y = -4y Combine like terms: 15 + 9 = 24 24 + -7y + 6y = -4y Combine like terms: -7y + 6y = -1y 24 + -1y = -4y Solving 24 + -1y = -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 24 + -1y + 4y = -4y + 4y Combine like terms: -1y + 4y = 3y 24 + 3y = -4y + 4y Combine like terms: -4y + 4y = 0 24 + 3y = 0 Add '-24' to each side of the equation. 24 + -24 + 3y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 3y = 0 + -24 3y = 0 + -24 Combine like terms: 0 + -24 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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