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Simplifying -4(4y + -7) + 3(3y + 6) = 0 Reorder the terms: -4(-7 + 4y) + 3(3y + 6) = 0 (-7 * -4 + 4y * -4) + 3(3y + 6) = 0 (28 + -16y) + 3(3y + 6) = 0 Reorder the terms: 28 + -16y + 3(6 + 3y) = 0 28 + -16y + (6 * 3 + 3y * 3) = 0 28 + -16y + (18 + 9y) = 0 Reorder the terms: 28 + 18 + -16y + 9y = 0 Combine like terms: 28 + 18 = 46 46 + -16y + 9y = 0 Combine like terms: -16y + 9y = -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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