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Simplifying (-3z) + 8z(z + y) = 0 Reorder the terms: (-3z) + 8z(y + z) = 0 (-3z) + (y * 8z + z * 8z) = 0 (-3z) + (8yz + 8z2) = 0 Reorder the terms: 8yz + (-3z) + 8z2 = 0 Solving 8yz + (-3z) + 8z2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '(3z)' to each side of the equation. 8yz + (-3z) + (3z) + 8z2 = 0 + (3z) Combine like terms: (-3z) + (3z) = 0 8yz + 0 + 8z2 = 0 + (3z) 8yz + 8z2 = 0 + (3z) Remove the zero: 8yz + 8z2 = (3z) Add '-8z2' to each side of the equation. 8yz + 8z2 + -8z2 = (3z) + -8z2 Combine like terms: 8z2 + -8z2 = 0 8yz + 0 = (3z) + -8z2 8yz = (3z) + -8z2 Divide each side by '8z'. y = 0.375 + -1z Simplifying y = 0.375 + -1z
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