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Simplifying -5(4y + -9) + 4(2y + 9) = 0 Reorder the terms: -5(-9 + 4y) + 4(2y + 9) = 0 (-9 * -5 + 4y * -5) + 4(2y + 9) = 0 (45 + -20y) + 4(2y + 9) = 0 Reorder the terms: 45 + -20y + 4(9 + 2y) = 0 45 + -20y + (9 * 4 + 2y * 4) = 0 45 + -20y + (36 + 8y) = 0 Reorder the terms: 45 + 36 + -20y + 8y = 0 Combine like terms: 45 + 36 = 81 81 + -20y + 8y = 0 Combine like terms: -20y + 8y = -12y 81 + -12y = 0 Solving 81 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -12y = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -12y = 0 + -81 -12y = 0 + -81 Combine like terms: 0 + -81 = -81 -12y = -81 Divide each side by '-12'. y = 6.75 Simplifying y = 6.75
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