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Simplifying -5(4y + -8) + 2(3y + 5) = 0 Reorder the terms: -5(-8 + 4y) + 2(3y + 5) = 0 (-8 * -5 + 4y * -5) + 2(3y + 5) = 0 (40 + -20y) + 2(3y + 5) = 0 Reorder the terms: 40 + -20y + 2(5 + 3y) = 0 40 + -20y + (5 * 2 + 3y * 2) = 0 40 + -20y + (10 + 6y) = 0 Reorder the terms: 40 + 10 + -20y + 6y = 0 Combine like terms: 40 + 10 = 50 50 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 50 + -14y = 0 Solving 50 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -14y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -14y = 0 + -50 -14y = 0 + -50 Combine like terms: 0 + -50 = -50 -14y = -50 Divide each side by '-14'. y = 3.571428571 Simplifying y = 3.571428571
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