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Simplifying -4(5y + -9) + 2(3y + 9) = 0 Reorder the terms: -4(-9 + 5y) + 2(3y + 9) = 0 (-9 * -4 + 5y * -4) + 2(3y + 9) = 0 (36 + -20y) + 2(3y + 9) = 0 Reorder the terms: 36 + -20y + 2(9 + 3y) = 0 36 + -20y + (9 * 2 + 3y * 2) = 0 36 + -20y + (18 + 6y) = 0 Reorder the terms: 36 + 18 + -20y + 6y = 0 Combine like terms: 36 + 18 = 54 54 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 54 + -14y = 0 Solving 54 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -14y = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -14y = 0 + -54 -14y = 0 + -54 Combine like terms: 0 + -54 = -54 -14y = -54 Divide each side by '-14'. y = 3.857142857 Simplifying y = 3.857142857
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