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Simplifying 3x + -4y + 3z + -3x + -1y + 2z = 0 Reorder the terms: 3x + -3x + -4y + -1y + 3z + 2z = 0 Combine like terms: 3x + -3x = 0 0 + -4y + -1y + 3z + 2z = 0 -4y + -1y + 3z + 2z = 0 Combine like terms: -4y + -1y = -5y -5y + 3z + 2z = 0 Combine like terms: 3z + 2z = 5z -5y + 5z = 0 Solving -5y + 5z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5z' to each side of the equation. -5y + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 -5y + 0 = 0 + -5z -5y = 0 + -5z Remove the zero: -5y = -5z Divide each side by '-5'. y = z Simplifying y = z
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