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Simplifying -3y + -6(-5z + 5y) + 5z = 0 Reorder the terms: -3y + -6(5y + -5z) + 5z = 0 -3y + (5y * -6 + -5z * -6) + 5z = 0 -3y + (-30y + 30z) + 5z = 0 Combine like terms: -3y + -30y = -33y -33y + 30z + 5z = 0 Combine like terms: 30z + 5z = 35z -33y + 35z = 0 Solving -33y + 35z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35z' to each side of the equation. -33y + 35z + -35z = 0 + -35z Combine like terms: 35z + -35z = 0 -33y + 0 = 0 + -35z -33y = 0 + -35z Remove the zero: -33y = -35z Divide each side by '-33'. y = 1.060606061z Simplifying y = 1.060606061z
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