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Simplifying 8(4y + -5) + -1(2y + 9) = 0 Reorder the terms: 8(-5 + 4y) + -1(2y + 9) = 0 (-5 * 8 + 4y * 8) + -1(2y + 9) = 0 (-40 + 32y) + -1(2y + 9) = 0 Reorder the terms: -40 + 32y + -1(9 + 2y) = 0 -40 + 32y + (9 * -1 + 2y * -1) = 0 -40 + 32y + (-9 + -2y) = 0 Reorder the terms: -40 + -9 + 32y + -2y = 0 Combine like terms: -40 + -9 = -49 -49 + 32y + -2y = 0 Combine like terms: 32y + -2y = 30y -49 + 30y = 0 Solving -49 + 30y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 30y = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 30y = 0 + 49 30y = 0 + 49 Combine like terms: 0 + 49 = 49 30y = 49 Divide each side by '30'. y = 1.633333333 Simplifying y = 1.633333333
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