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Simplifying 9(4y + -6) + -1(5y + 9) = 0 Reorder the terms: 9(-6 + 4y) + -1(5y + 9) = 0 (-6 * 9 + 4y * 9) + -1(5y + 9) = 0 (-54 + 36y) + -1(5y + 9) = 0 Reorder the terms: -54 + 36y + -1(9 + 5y) = 0 -54 + 36y + (9 * -1 + 5y * -1) = 0 -54 + 36y + (-9 + -5y) = 0 Reorder the terms: -54 + -9 + 36y + -5y = 0 Combine like terms: -54 + -9 = -63 -63 + 36y + -5y = 0 Combine like terms: 36y + -5y = 31y -63 + 31y = 0 Solving -63 + 31y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 31y = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 31y = 0 + 63 31y = 0 + 63 Combine like terms: 0 + 63 = 63 31y = 63 Divide each side by '31'. y = 2.032258065 Simplifying y = 2.032258065
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