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Simplifying -3(5y + -10) + 2(4y + 8) = 0 Reorder the terms: -3(-10 + 5y) + 2(4y + 8) = 0 (-10 * -3 + 5y * -3) + 2(4y + 8) = 0 (30 + -15y) + 2(4y + 8) = 0 Reorder the terms: 30 + -15y + 2(8 + 4y) = 0 30 + -15y + (8 * 2 + 4y * 2) = 0 30 + -15y + (16 + 8y) = 0 Reorder the terms: 30 + 16 + -15y + 8y = 0 Combine like terms: 30 + 16 = 46 46 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 46 + -7y = 0 Solving 46 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -7y = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -7y = 0 + -46 -7y = 0 + -46 Combine like terms: 0 + -46 = -46 -7y = -46 Divide each side by '-7'. y = 6.571428571 Simplifying y = 6.571428571
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