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Simplifying -5(4y + -5) + 2(2y + 9) = 0 Reorder the terms: -5(-5 + 4y) + 2(2y + 9) = 0 (-5 * -5 + 4y * -5) + 2(2y + 9) = 0 (25 + -20y) + 2(2y + 9) = 0 Reorder the terms: 25 + -20y + 2(9 + 2y) = 0 25 + -20y + (9 * 2 + 2y * 2) = 0 25 + -20y + (18 + 4y) = 0 Reorder the terms: 25 + 18 + -20y + 4y = 0 Combine like terms: 25 + 18 = 43 43 + -20y + 4y = 0 Combine like terms: -20y + 4y = -16y 43 + -16y = 0 Solving 43 + -16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -16y = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -16y = 0 + -43 -16y = 0 + -43 Combine like terms: 0 + -43 = -43 -16y = -43 Divide each side by '-16'. y = 2.6875 Simplifying y = 2.6875
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