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Simplifying 3(-1y + -4z) + -5(-6z + -5y) = 0 (-1y * 3 + -4z * 3) + -5(-6z + -5y) = 0 (-3y + -12z) + -5(-6z + -5y) = 0 Reorder the terms: -3y + -12z + -5(-5y + -6z) = 0 -3y + -12z + (-5y * -5 + -6z * -5) = 0 -3y + -12z + (25y + 30z) = 0 Reorder the terms: -3y + 25y + -12z + 30z = 0 Combine like terms: -3y + 25y = 22y 22y + -12z + 30z = 0 Combine like terms: -12z + 30z = 18z 22y + 18z = 0 Solving 22y + 18z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18z' to each side of the equation. 22y + 18z + -18z = 0 + -18z Combine like terms: 18z + -18z = 0 22y + 0 = 0 + -18z 22y = 0 + -18z Remove the zero: 22y = -18z Divide each side by '22'. y = -0.8181818182z Simplifying y = -0.8181818182z
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