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Simplifying 8(4y + -3) + -1(5y + 9) = 0 Reorder the terms: 8(-3 + 4y) + -1(5y + 9) = 0 (-3 * 8 + 4y * 8) + -1(5y + 9) = 0 (-24 + 32y) + -1(5y + 9) = 0 Reorder the terms: -24 + 32y + -1(9 + 5y) = 0 -24 + 32y + (9 * -1 + 5y * -1) = 0 -24 + 32y + (-9 + -5y) = 0 Reorder the terms: -24 + -9 + 32y + -5y = 0 Combine like terms: -24 + -9 = -33 -33 + 32y + -5y = 0 Combine like terms: 32y + -5y = 27y -33 + 27y = 0 Solving -33 + 27y = 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 + 27y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 27y = 0 + 33 27y = 0 + 33 Combine like terms: 0 + 33 = 33 27y = 33 Divide each side by '27'. y = 1.222222222 Simplifying y = 1.222222222
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