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Simplifying 9(4y + -9) + -1(2y + 6) = 0 Reorder the terms: 9(-9 + 4y) + -1(2y + 6) = 0 (-9 * 9 + 4y * 9) + -1(2y + 6) = 0 (-81 + 36y) + -1(2y + 6) = 0 Reorder the terms: -81 + 36y + -1(6 + 2y) = 0 -81 + 36y + (6 * -1 + 2y * -1) = 0 -81 + 36y + (-6 + -2y) = 0 Reorder the terms: -81 + -6 + 36y + -2y = 0 Combine like terms: -81 + -6 = -87 -87 + 36y + -2y = 0 Combine like terms: 36y + -2y = 34y -87 + 34y = 0 Solving -87 + 34y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '87' to each side of the equation. -87 + 87 + 34y = 0 + 87 Combine like terms: -87 + 87 = 0 0 + 34y = 0 + 87 34y = 0 + 87 Combine like terms: 0 + 87 = 87 34y = 87 Divide each side by '34'. y = 2.558823529 Simplifying y = 2.558823529
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