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Simplifying -2 + 4(-8y + 2) = -7(9y + 1) + -1 Reorder the terms: -2 + 4(2 + -8y) = -7(9y + 1) + -1 -2 + (2 * 4 + -8y * 4) = -7(9y + 1) + -1 -2 + (8 + -32y) = -7(9y + 1) + -1 Combine like terms: -2 + 8 = 6 6 + -32y = -7(9y + 1) + -1 Reorder the terms: 6 + -32y = -7(1 + 9y) + -1 6 + -32y = (1 * -7 + 9y * -7) + -1 6 + -32y = (-7 + -63y) + -1 Reorder the terms: 6 + -32y = -7 + -1 + -63y Combine like terms: -7 + -1 = -8 6 + -32y = -8 + -63y Solving 6 + -32y = -8 + -63y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '63y' to each side of the equation. 6 + -32y + 63y = -8 + -63y + 63y Combine like terms: -32y + 63y = 31y 6 + 31y = -8 + -63y + 63y Combine like terms: -63y + 63y = 0 6 + 31y = -8 + 0 6 + 31y = -8 Add '-6' to each side of the equation. 6 + -6 + 31y = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 31y = -8 + -6 31y = -8 + -6 Combine like terms: -8 + -6 = -14 31y = -14 Divide each side by '31'. y = -0.4516129032 Simplifying y = -0.4516129032
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