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Simplifying -5(4y + -10) + 3(3y + 6) = 0 Reorder the terms: -5(-10 + 4y) + 3(3y + 6) = 0 (-10 * -5 + 4y * -5) + 3(3y + 6) = 0 (50 + -20y) + 3(3y + 6) = 0 Reorder the terms: 50 + -20y + 3(6 + 3y) = 0 50 + -20y + (6 * 3 + 3y * 3) = 0 50 + -20y + (18 + 9y) = 0 Reorder the terms: 50 + 18 + -20y + 9y = 0 Combine like terms: 50 + 18 = 68 68 + -20y + 9y = 0 Combine like terms: -20y + 9y = -11y 68 + -11y = 0 Solving 68 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -11y = 0 + -68 Combine like terms: 68 + -68 = 0 0 + -11y = 0 + -68 -11y = 0 + -68 Combine like terms: 0 + -68 = -68 -11y = -68 Divide each side by '-11'. y = 6.181818182 Simplifying y = 6.181818182
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