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Simplifying 5x + 10y + 15z + 10y + -5x = 0 Reorder the terms: 5x + -5x + 10y + 10y + 15z = 0 Combine like terms: 5x + -5x = 0 0 + 10y + 10y + 15z = 0 10y + 10y + 15z = 0 Combine like terms: 10y + 10y = 20y 20y + 15z = 0 Solving 20y + 15z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15z' to each side of the equation. 20y + 15z + -15z = 0 + -15z Combine like terms: 15z + -15z = 0 20y + 0 = 0 + -15z 20y = 0 + -15z Remove the zero: 20y = -15z Divide each side by '20'. y = -0.75z Simplifying y = -0.75z
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