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Simplifying (y + -1x) + -1(z + -1x) = 0 Reorder the terms: (-1x + y) + -1(z + -1x) = 0 Remove parenthesis around (-1x + y) -1x + y + -1(z + -1x) = 0 Reorder the terms: -1x + y + -1(-1x + z) = 0 -1x + y + (-1x * -1 + z * -1) = 0 -1x + y + (1x + -1z) = 0 Reorder the terms: -1x + 1x + y + -1z = 0 Combine like terms: -1x + 1x = 0 0 + y + -1z = 0 y + -1z = 0 Solving y + -1z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. y + -1z + z = 0 + z Combine like terms: -1z + z = 0 y + 0 = 0 + z y = 0 + z Remove the zero: y = z Simplifying y = z
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