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Simplifying 6(9y + 10) + -1(4y + -9) = 0 Reorder the terms: 6(10 + 9y) + -1(4y + -9) = 0 (10 * 6 + 9y * 6) + -1(4y + -9) = 0 (60 + 54y) + -1(4y + -9) = 0 Reorder the terms: 60 + 54y + -1(-9 + 4y) = 0 60 + 54y + (-9 * -1 + 4y * -1) = 0 60 + 54y + (9 + -4y) = 0 Reorder the terms: 60 + 9 + 54y + -4y = 0 Combine like terms: 60 + 9 = 69 69 + 54y + -4y = 0 Combine like terms: 54y + -4y = 50y 69 + 50y = 0 Solving 69 + 50y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 50y = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 50y = 0 + -69 50y = 0 + -69 Combine like terms: 0 + -69 = -69 50y = -69 Divide each side by '50'. y = -1.38 Simplifying y = -1.38
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