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Simplifying -4(5y + -9) + 3(2y + 8) = 0 Reorder the terms: -4(-9 + 5y) + 3(2y + 8) = 0 (-9 * -4 + 5y * -4) + 3(2y + 8) = 0 (36 + -20y) + 3(2y + 8) = 0 Reorder the terms: 36 + -20y + 3(8 + 2y) = 0 36 + -20y + (8 * 3 + 2y * 3) = 0 36 + -20y + (24 + 6y) = 0 Reorder the terms: 36 + 24 + -20y + 6y = 0 Combine like terms: 36 + 24 = 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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