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Simplifying 8(5y + -8) + -1(4y + 9) = 0 Reorder the terms: 8(-8 + 5y) + -1(4y + 9) = 0 (-8 * 8 + 5y * 8) + -1(4y + 9) = 0 (-64 + 40y) + -1(4y + 9) = 0 Reorder the terms: -64 + 40y + -1(9 + 4y) = 0 -64 + 40y + (9 * -1 + 4y * -1) = 0 -64 + 40y + (-9 + -4y) = 0 Reorder the terms: -64 + -9 + 40y + -4y = 0 Combine like terms: -64 + -9 = -73 -73 + 40y + -4y = 0 Combine like terms: 40y + -4y = 36y -73 + 36y = 0 Solving -73 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 36y = 0 + 73 Combine like terms: -73 + 73 = 0 0 + 36y = 0 + 73 36y = 0 + 73 Combine like terms: 0 + 73 = 73 36y = 73 Divide each side by '36'. y = 2.027777778 Simplifying y = 2.027777778
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