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Simplifying 15x + -1y + -5(3x + -2y + 5z) = 0 15x + -1y + (3x * -5 + -2y * -5 + 5z * -5) = 0 15x + -1y + (-15x + 10y + -25z) = 0 Reorder the terms: 15x + -15x + -1y + 10y + -25z = 0 Combine like terms: 15x + -15x = 0 0 + -1y + 10y + -25z = 0 -1y + 10y + -25z = 0 Combine like terms: -1y + 10y = 9y 9y + -25z = 0 Solving 9y + -25z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25z' to each side of the equation. 9y + -25z + 25z = 0 + 25z Combine like terms: -25z + 25z = 0 9y + 0 = 0 + 25z 9y = 0 + 25z Remove the zero: 9y = 25z Divide each side by '9'. y = 2.777777778z Simplifying y = 2.777777778z
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