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Simplifying -4(5y + -6) + 2(3y + 8) = 0 Reorder the terms: -4(-6 + 5y) + 2(3y + 8) = 0 (-6 * -4 + 5y * -4) + 2(3y + 8) = 0 (24 + -20y) + 2(3y + 8) = 0 Reorder the terms: 24 + -20y + 2(8 + 3y) = 0 24 + -20y + (8 * 2 + 3y * 2) = 0 24 + -20y + (16 + 6y) = 0 Reorder the terms: 24 + 16 + -20y + 6y = 0 Combine like terms: 24 + 16 = 40 40 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 40 + -14y = 0 Solving 40 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -14y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -14y = 0 + -40 -14y = 0 + -40 Combine like terms: 0 + -40 = -40 -14y = -40 Divide each side by '-14'. y = 2.857142857 Simplifying y = 2.857142857
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