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Simplifying 5y + -3(2z + -6y) + -6z = 0 Reorder the terms: 5y + -3(-6y + 2z) + -6z = 0 5y + (-6y * -3 + 2z * -3) + -6z = 0 5y + (18y + -6z) + -6z = 0 Combine like terms: 5y + 18y = 23y 23y + -6z + -6z = 0 Combine like terms: -6z + -6z = -12z 23y + -12z = 0 Solving 23y + -12z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12z' to each side of the equation. 23y + -12z + 12z = 0 + 12z Combine like terms: -12z + 12z = 0 23y + 0 = 0 + 12z 23y = 0 + 12z Remove the zero: 23y = 12z Divide each side by '23'. y = 0.5217391304z Simplifying y = 0.5217391304z
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