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Simplifying -3(5y + -7) + 2(2y + 9) = 0 Reorder the terms: -3(-7 + 5y) + 2(2y + 9) = 0 (-7 * -3 + 5y * -3) + 2(2y + 9) = 0 (21 + -15y) + 2(2y + 9) = 0 Reorder the terms: 21 + -15y + 2(9 + 2y) = 0 21 + -15y + (9 * 2 + 2y * 2) = 0 21 + -15y + (18 + 4y) = 0 Reorder the terms: 21 + 18 + -15y + 4y = 0 Combine like terms: 21 + 18 = 39 39 + -15y + 4y = 0 Combine like terms: -15y + 4y = -11y 39 + -11y = 0 Solving 39 + -11y = 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 + -11y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -11y = 0 + -39 -11y = 0 + -39 Combine like terms: 0 + -39 = -39 -11y = -39 Divide each side by '-11'. y = 3.545454545 Simplifying y = 3.545454545
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