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Simplifying 5y + -5(5z + -6y) + -3z = 0 Reorder the terms: 5y + -5(-6y + 5z) + -3z = 0 5y + (-6y * -5 + 5z * -5) + -3z = 0 5y + (30y + -25z) + -3z = 0 Combine like terms: 5y + 30y = 35y 35y + -25z + -3z = 0 Combine like terms: -25z + -3z = -28z 35y + -28z = 0 Solving 35y + -28z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28z' to each side of the equation. 35y + -28z + 28z = 0 + 28z Combine like terms: -28z + 28z = 0 35y + 0 = 0 + 28z 35y = 0 + 28z Remove the zero: 35y = 28z Divide each side by '35'. y = 0.8z Simplifying y = 0.8z
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