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Simplifying -6z(3 + 2y) + 8z = 0 (3 * -6z + 2y * -6z) + 8z = 0 Reorder the terms: (-12yz + -18z) + 8z = 0 (-12yz + -18z) + 8z = 0 Combine like terms: -18z + 8z = -10z -12yz + -10z = 0 Solving -12yz + -10z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10z' to each side of the equation. -12yz + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 -12yz + 0 = 0 + 10z -12yz = 0 + 10z Remove the zero: -12yz = 10z Divide each side by '-12z'. y = -0.8333333333 Simplifying y = -0.8333333333
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