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Simplifying 6y + -5(-6z + 3y) + 2z = 0 Reorder the terms: 6y + -5(3y + -6z) + 2z = 0 6y + (3y * -5 + -6z * -5) + 2z = 0 6y + (-15y + 30z) + 2z = 0 Combine like terms: 6y + -15y = -9y -9y + 30z + 2z = 0 Combine like terms: 30z + 2z = 32z -9y + 32z = 0 Solving -9y + 32z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32z' to each side of the equation. -9y + 32z + -32z = 0 + -32z Combine like terms: 32z + -32z = 0 -9y + 0 = 0 + -32z -9y = 0 + -32z Remove the zero: -9y = -32z Divide each side by '-9'. y = 3.555555556z Simplifying y = 3.555555556z
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