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