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Simplifying -4(5y + -9) + 2(2y + 5) = 0 Reorder the terms: -4(-9 + 5y) + 2(2y + 5) = 0 (-9 * -4 + 5y * -4) + 2(2y + 5) = 0 (36 + -20y) + 2(2y + 5) = 0 Reorder the terms: 36 + -20y + 2(5 + 2y) = 0 36 + -20y + (5 * 2 + 2y * 2) = 0 36 + -20y + (10 + 4y) = 0 Reorder the terms: 36 + 10 + -20y + 4y = 0 Combine like terms: 36 + 10 = 46 46 + -20y + 4y = 0 Combine like terms: -20y + 4y = -16y 46 + -16y = 0 Solving 46 + -16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -16y = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -16y = 0 + -46 -16y = 0 + -46 Combine like terms: 0 + -46 = -46 -16y = -46 Divide each side by '-16'. y = 2.875 Simplifying y = 2.875
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