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Simplifying -5(3y + -9) + 2(2y + 6) = 0 Reorder the terms: -5(-9 + 3y) + 2(2y + 6) = 0 (-9 * -5 + 3y * -5) + 2(2y + 6) = 0 (45 + -15y) + 2(2y + 6) = 0 Reorder the terms: 45 + -15y + 2(6 + 2y) = 0 45 + -15y + (6 * 2 + 2y * 2) = 0 45 + -15y + (12 + 4y) = 0 Reorder the terms: 45 + 12 + -15y + 4y = 0 Combine like terms: 45 + 12 = 57 57 + -15y + 4y = 0 Combine like terms: -15y + 4y = -11y 57 + -11y = 0 Solving 57 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -11y = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -11y = 0 + -57 -11y = 0 + -57 Combine like terms: 0 + -57 = -57 -11y = -57 Divide each side by '-11'. y = 5.181818182 Simplifying y = 5.181818182
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