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Simplifying -3(5y + -7) + 2(4y + 9) = 0 Reorder the terms: -3(-7 + 5y) + 2(4y + 9) = 0 (-7 * -3 + 5y * -3) + 2(4y + 9) = 0 (21 + -15y) + 2(4y + 9) = 0 Reorder the terms: 21 + -15y + 2(9 + 4y) = 0 21 + -15y + (9 * 2 + 4y * 2) = 0 21 + -15y + (18 + 8y) = 0 Reorder the terms: 21 + 18 + -15y + 8y = 0 Combine like terms: 21 + 18 = 39 39 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 39 + -7y = 0 Solving 39 + -7y = 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 + -7y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -7y = 0 + -39 -7y = 0 + -39 Combine like terms: 0 + -39 = -39 -7y = -39 Divide each side by '-7'. y = 5.571428571 Simplifying y = 5.571428571
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