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Simplifying 4(2y + -9) + -1(y + 9) = 0 Reorder the terms: 4(-9 + 2y) + -1(y + 9) = 0 (-9 * 4 + 2y * 4) + -1(y + 9) = 0 (-36 + 8y) + -1(y + 9) = 0 Reorder the terms: -36 + 8y + -1(9 + y) = 0 -36 + 8y + (9 * -1 + y * -1) = 0 -36 + 8y + (-9 + -1y) = 0 Reorder the terms: -36 + -9 + 8y + -1y = 0 Combine like terms: -36 + -9 = -45 -45 + 8y + -1y = 0 Combine like terms: 8y + -1y = 7y -45 + 7y = 0 Solving -45 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 7y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 7y = 0 + 45 7y = 0 + 45 Combine like terms: 0 + 45 = 45 7y = 45 Divide each side by '7'. y = 6.428571429 Simplifying y = 6.428571429
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