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Simplifying (4y + -3)(2y + 3) + -8y(y + -4) = 0 Reorder the terms: (-3 + 4y)(2y + 3) + -8y(y + -4) = 0 Reorder the terms: (-3 + 4y)(3 + 2y) + -8y(y + -4) = 0 Multiply (-3 + 4y) * (3 + 2y) (-3(3 + 2y) + 4y * (3 + 2y)) + -8y(y + -4) = 0 ((3 * -3 + 2y * -3) + 4y * (3 + 2y)) + -8y(y + -4) = 0 ((-9 + -6y) + 4y * (3 + 2y)) + -8y(y + -4) = 0 (-9 + -6y + (3 * 4y + 2y * 4y)) + -8y(y + -4) = 0 (-9 + -6y + (12y + 8y2)) + -8y(y + -4) = 0 Combine like terms: -6y + 12y = 6y (-9 + 6y + 8y2) + -8y(y + -4) = 0 Reorder the terms: -9 + 6y + 8y2 + -8y(-4 + y) = 0 -9 + 6y + 8y2 + (-4 * -8y + y * -8y) = 0 -9 + 6y + 8y2 + (32y + -8y2) = 0 Reorder the terms: -9 + 6y + 32y + 8y2 + -8y2 = 0 Combine like terms: 6y + 32y = 38y -9 + 38y + 8y2 + -8y2 = 0 Combine like terms: 8y2 + -8y2 = 0 -9 + 38y + 0 = 0 -9 + 38y = 0 Solving -9 + 38y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 38y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 38y = 0 + 9 38y = 0 + 9 Combine like terms: 0 + 9 = 9 38y = 9 Divide each side by '38'. y = 0.2368421053 Simplifying y = 0.2368421053
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