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Simplifying 6y + -6(-2z + 5y) + -3z = 0 Reorder the terms: 6y + -6(5y + -2z) + -3z = 0 6y + (5y * -6 + -2z * -6) + -3z = 0 6y + (-30y + 12z) + -3z = 0 Combine like terms: 6y + -30y = -24y -24y + 12z + -3z = 0 Combine like terms: 12z + -3z = 9z -24y + 9z = 0 Solving -24y + 9z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9z' to each side of the equation. -24y + 9z + -9z = 0 + -9z Combine like terms: 9z + -9z = 0 -24y + 0 = 0 + -9z -24y = 0 + -9z Remove the zero: -24y = -9z Divide each side by '-24'. y = 0.375z Simplifying y = 0.375z
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