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Simplifying 6(5y + -4) + -1(6y + 9) = 0 Reorder the terms: 6(-4 + 5y) + -1(6y + 9) = 0 (-4 * 6 + 5y * 6) + -1(6y + 9) = 0 (-24 + 30y) + -1(6y + 9) = 0 Reorder the terms: -24 + 30y + -1(9 + 6y) = 0 -24 + 30y + (9 * -1 + 6y * -1) = 0 -24 + 30y + (-9 + -6y) = 0 Reorder the terms: -24 + -9 + 30y + -6y = 0 Combine like terms: -24 + -9 = -33 -33 + 30y + -6y = 0 Combine like terms: 30y + -6y = 24y -33 + 24y = 0 Solving -33 + 24y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 24y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 24y = 0 + 33 24y = 0 + 33 Combine like terms: 0 + 33 = 33 24y = 33 Divide each side by '24'. y = 1.375 Simplifying y = 1.375
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