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Simplifying -5(4y + -9) + 3(2y + 5) = 0 Reorder the terms: -5(-9 + 4y) + 3(2y + 5) = 0 (-9 * -5 + 4y * -5) + 3(2y + 5) = 0 (45 + -20y) + 3(2y + 5) = 0 Reorder the terms: 45 + -20y + 3(5 + 2y) = 0 45 + -20y + (5 * 3 + 2y * 3) = 0 45 + -20y + (15 + 6y) = 0 Reorder the terms: 45 + 15 + -20y + 6y = 0 Combine like terms: 45 + 15 = 60 60 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 60 + -14y = 0 Solving 60 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -14y = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -14y = 0 + -60 -14y = 0 + -60 Combine like terms: 0 + -60 = -60 -14y = -60 Divide each side by '-14'. y = 4.285714286 Simplifying y = 4.285714286
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