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Simplifying -4(5y + -8) + 2(3y + 7) = 0 Reorder the terms: -4(-8 + 5y) + 2(3y + 7) = 0 (-8 * -4 + 5y * -4) + 2(3y + 7) = 0 (32 + -20y) + 2(3y + 7) = 0 Reorder the terms: 32 + -20y + 2(7 + 3y) = 0 32 + -20y + (7 * 2 + 3y * 2) = 0 32 + -20y + (14 + 6y) = 0 Reorder the terms: 32 + 14 + -20y + 6y = 0 Combine like terms: 32 + 14 = 46 46 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 46 + -14y = 0 Solving 46 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -14y = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -14y = 0 + -46 -14y = 0 + -46 Combine like terms: 0 + -46 = -46 -14y = -46 Divide each side by '-14'. y = 3.285714286 Simplifying y = 3.285714286
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