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Simplifying 2x + -2y + 5z + -2x + -1y + 3z = 0 Reorder the terms: 2x + -2x + -2y + -1y + 5z + 3z = 0 Combine like terms: 2x + -2x = 0 0 + -2y + -1y + 5z + 3z = 0 -2y + -1y + 5z + 3z = 0 Combine like terms: -2y + -1y = -3y -3y + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z -3y + 8z = 0 Solving -3y + 8z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8z' to each side of the equation. -3y + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 -3y + 0 = 0 + -8z -3y = 0 + -8z Remove the zero: -3y = -8z Divide each side by '-3'. y = 2.666666667z Simplifying y = 2.666666667z
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