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Simplifying 3 + 4z(2y + 1) = 0 Reorder the terms: 3 + 4z(1 + 2y) = 0 3 + (1 * 4z + 2y * 4z) = 0 Reorder the terms: 3 + (8yz + 4z) = 0 3 + (8yz + 4z) = 0 Solving 3 + 8yz + 4z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 8yz + -3 + 4z = 0 + -3 Reorder the terms: 3 + -3 + 8yz + 4z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8yz + 4z = 0 + -3 8yz + 4z = 0 + -3 Combine like terms: 0 + -3 = -3 8yz + 4z = -3 Add '-4z' to each side of the equation. 8yz + 4z + -4z = -3 + -4z Combine like terms: 4z + -4z = 0 8yz + 0 = -3 + -4z 8yz = -3 + -4z Divide each side by '8z'. y = -0.375z-1 + -0.5 Simplifying y = -0.375z-1 + -0.5 Reorder the terms: y = -0.5 + -0.375z-1
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