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Simplifying 4(8 + -1y) + 7 = -7(y + -2) + -9 (8 * 4 + -1y * 4) + 7 = -7(y + -2) + -9 (32 + -4y) + 7 = -7(y + -2) + -9 Reorder the terms: 32 + 7 + -4y = -7(y + -2) + -9 Combine like terms: 32 + 7 = 39 39 + -4y = -7(y + -2) + -9 Reorder the terms: 39 + -4y = -7(-2 + y) + -9 39 + -4y = (-2 * -7 + y * -7) + -9 39 + -4y = (14 + -7y) + -9 Reorder the terms: 39 + -4y = 14 + -9 + -7y Combine like terms: 14 + -9 = 5 39 + -4y = 5 + -7y Solving 39 + -4y = 5 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 39 + -4y + 7y = 5 + -7y + 7y Combine like terms: -4y + 7y = 3y 39 + 3y = 5 + -7y + 7y Combine like terms: -7y + 7y = 0 39 + 3y = 5 + 0 39 + 3y = 5 Add '-39' to each side of the equation. 39 + -39 + 3y = 5 + -39 Combine like terms: 39 + -39 = 0 0 + 3y = 5 + -39 3y = 5 + -39 Combine like terms: 5 + -39 = -34 3y = -34 Divide each side by '3'. y = -11.33333333 Simplifying y = -11.33333333
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