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Simplifying 3(5y + -6) + -1(8y + 9) = 0 Reorder the terms: 3(-6 + 5y) + -1(8y + 9) = 0 (-6 * 3 + 5y * 3) + -1(8y + 9) = 0 (-18 + 15y) + -1(8y + 9) = 0 Reorder the terms: -18 + 15y + -1(9 + 8y) = 0 -18 + 15y + (9 * -1 + 8y * -1) = 0 -18 + 15y + (-9 + -8y) = 0 Reorder the terms: -18 + -9 + 15y + -8y = 0 Combine like terms: -18 + -9 = -27 -27 + 15y + -8y = 0 Combine like terms: 15y + -8y = 7y -27 + 7y = 0 Solving -27 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 7y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 7y = 0 + 27 7y = 0 + 27 Combine like terms: 0 + 27 = 27 7y = 27 Divide each side by '7'. y = 3.857142857 Simplifying y = 3.857142857
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