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Simplifying -5(4y + -8) + 2(3y + 6) = 0 Reorder the terms: -5(-8 + 4y) + 2(3y + 6) = 0 (-8 * -5 + 4y * -5) + 2(3y + 6) = 0 (40 + -20y) + 2(3y + 6) = 0 Reorder the terms: 40 + -20y + 2(6 + 3y) = 0 40 + -20y + (6 * 2 + 3y * 2) = 0 40 + -20y + (12 + 6y) = 0 Reorder the terms: 40 + 12 + -20y + 6y = 0 Combine like terms: 40 + 12 = 52 52 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 52 + -14y = 0 Solving 52 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -14y = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -14y = 0 + -52 -14y = 0 + -52 Combine like terms: 0 + -52 = -52 -14y = -52 Divide each side by '-14'. y = 3.714285714 Simplifying y = 3.714285714
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