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Simplifying -5(4y + -5) + 3(3y + 9) = 0 Reorder the terms: -5(-5 + 4y) + 3(3y + 9) = 0 (-5 * -5 + 4y * -5) + 3(3y + 9) = 0 (25 + -20y) + 3(3y + 9) = 0 Reorder the terms: 25 + -20y + 3(9 + 3y) = 0 25 + -20y + (9 * 3 + 3y * 3) = 0 25 + -20y + (27 + 9y) = 0 Reorder the terms: 25 + 27 + -20y + 9y = 0 Combine like terms: 25 + 27 = 52 52 + -20y + 9y = 0 Combine like terms: -20y + 9y = -11y 52 + -11y = 0 Solving 52 + -11y = 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 + -11y = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -11y = 0 + -52 -11y = 0 + -52 Combine like terms: 0 + -52 = -52 -11y = -52 Divide each side by '-11'. y = 4.727272727 Simplifying y = 4.727272727
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