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Simplifying -7 + 2(4y + 8) = -3(-9y + 4) + 1 Reorder the terms: -7 + 2(8 + 4y) = -3(-9y + 4) + 1 -7 + (8 * 2 + 4y * 2) = -3(-9y + 4) + 1 -7 + (16 + 8y) = -3(-9y + 4) + 1 Combine like terms: -7 + 16 = 9 9 + 8y = -3(-9y + 4) + 1 Reorder the terms: 9 + 8y = -3(4 + -9y) + 1 9 + 8y = (4 * -3 + -9y * -3) + 1 9 + 8y = (-12 + 27y) + 1 Reorder the terms: 9 + 8y = -12 + 1 + 27y Combine like terms: -12 + 1 = -11 9 + 8y = -11 + 27y Solving 9 + 8y = -11 + 27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27y' to each side of the equation. 9 + 8y + -27y = -11 + 27y + -27y Combine like terms: 8y + -27y = -19y 9 + -19y = -11 + 27y + -27y Combine like terms: 27y + -27y = 0 9 + -19y = -11 + 0 9 + -19y = -11 Add '-9' to each side of the equation. 9 + -9 + -19y = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -19y = -11 + -9 -19y = -11 + -9 Combine like terms: -11 + -9 = -20 -19y = -20 Divide each side by '-19'. y = 1.052631579 Simplifying y = 1.052631579
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