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Simplifying -4(5y + -7) + 3(2y + 8) = 0 Reorder the terms: -4(-7 + 5y) + 3(2y + 8) = 0 (-7 * -4 + 5y * -4) + 3(2y + 8) = 0 (28 + -20y) + 3(2y + 8) = 0 Reorder the terms: 28 + -20y + 3(8 + 2y) = 0 28 + -20y + (8 * 3 + 2y * 3) = 0 28 + -20y + (24 + 6y) = 0 Reorder the terms: 28 + 24 + -20y + 6y = 0 Combine like terms: 28 + 24 = 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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