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Simplifying -4y + -6(3z + -5y) + -2z = 0 Reorder the terms: -4y + -6(-5y + 3z) + -2z = 0 -4y + (-5y * -6 + 3z * -6) + -2z = 0 -4y + (30y + -18z) + -2z = 0 Combine like terms: -4y + 30y = 26y 26y + -18z + -2z = 0 Combine like terms: -18z + -2z = -20z 26y + -20z = 0 Solving 26y + -20z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20z' to each side of the equation. 26y + -20z + 20z = 0 + 20z Combine like terms: -20z + 20z = 0 26y + 0 = 0 + 20z 26y = 0 + 20z Remove the zero: 26y = 20z Divide each side by '26'. y = 0.7692307692z Simplifying y = 0.7692307692z
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