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Simplifying 12z(8y + 8z) + 96z = 0 (8y * 12z + 8z * 12z) + 96z = 0 (96yz + 96z2) + 96z = 0 Reorder the terms: 96yz + 96z + 96z2 = 0 Solving 96yz + 96z + 96z2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-96z' to each side of the equation. 96yz + 96z + -96z + 96z2 = 0 + -96z Combine like terms: 96z + -96z = 0 96yz + 0 + 96z2 = 0 + -96z 96yz + 96z2 = 0 + -96z Remove the zero: 96yz + 96z2 = -96z Add '-96z2' to each side of the equation. 96yz + 96z2 + -96z2 = -96z + -96z2 Combine like terms: 96z2 + -96z2 = 0 96yz + 0 = -96z + -96z2 96yz = -96z + -96z2 Divide each side by '96z'. y = -1 + -1z Simplifying y = -1 + -1z
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