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