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Simplifying -4y + -5(2z + -6y) + -2z = 0 Reorder the terms: -4y + -5(-6y + 2z) + -2z = 0 -4y + (-6y * -5 + 2z * -5) + -2z = 0 -4y + (30y + -10z) + -2z = 0 Combine like terms: -4y + 30y = 26y 26y + -10z + -2z = 0 Combine like terms: -10z + -2z = -12z 26y + -12z = 0 Solving 26y + -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. 26y + -12z + 12z = 0 + 12z Combine like terms: -12z + 12z = 0 26y + 0 = 0 + 12z 26y = 0 + 12z Remove the zero: 26y = 12z Divide each side by '26'. y = 0.4615384615z Simplifying y = 0.4615384615z
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