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Simplifying -5(4y + -5) + 2(3y + 7) = 0 Reorder the terms: -5(-5 + 4y) + 2(3y + 7) = 0 (-5 * -5 + 4y * -5) + 2(3y + 7) = 0 (25 + -20y) + 2(3y + 7) = 0 Reorder the terms: 25 + -20y + 2(7 + 3y) = 0 25 + -20y + (7 * 2 + 3y * 2) = 0 25 + -20y + (14 + 6y) = 0 Reorder the terms: 25 + 14 + -20y + 6y = 0 Combine like terms: 25 + 14 = 39 39 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 39 + -14y = 0 Solving 39 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -14y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -14y = 0 + -39 -14y = 0 + -39 Combine like terms: 0 + -39 = -39 -14y = -39 Divide each side by '-14'. y = 2.785714286 Simplifying y = 2.785714286
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