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Simplifying 8z(6y + 10z) + 80z = 0 (6y * 8z + 10z * 8z) + 80z = 0 (48yz + 80z2) + 80z = 0 Reorder the terms: 48yz + 80z + 80z2 = 0 Solving 48yz + 80z + 80z2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-80z' to each side of the equation. 48yz + 80z + -80z + 80z2 = 0 + -80z Combine like terms: 80z + -80z = 0 48yz + 0 + 80z2 = 0 + -80z 48yz + 80z2 = 0 + -80z Remove the zero: 48yz + 80z2 = -80z Add '-80z2' to each side of the equation. 48yz + 80z2 + -80z2 = -80z + -80z2 Combine like terms: 80z2 + -80z2 = 0 48yz + 0 = -80z + -80z2 48yz = -80z + -80z2 Divide each side by '48z'. y = -1.666666667 + -1.666666667z Simplifying y = -1.666666667 + -1.666666667z
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