ya+x-1cyz-1+xz-1=z

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Solution for ya+x-1cyz-1+xz-1=z equation:


Simplifying
ya + x + -1cyz + -1 + xz + -1 = z

Reorder the terms:
-1 + -1 + ay + -1cyz + x + xz = z

Combine like terms: -1 + -1 = -2
-2 + ay + -1cyz + x + xz = z

Solving
-2 + ay + -1cyz + x + xz = z

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + ay + -1cyz + x + 2 + xz = 2 + z

Reorder the terms:
-2 + 2 + ay + -1cyz + x + xz = 2 + z

Combine like terms: -2 + 2 = 0
0 + ay + -1cyz + x + xz = 2 + z
ay + -1cyz + x + xz = 2 + z

Add 'cyz' to each side of the equation.
ay + -1cyz + x + cyz + xz = 2 + cyz + z

Reorder the terms:
ay + -1cyz + cyz + x + xz = 2 + cyz + z

Combine like terms: -1cyz + cyz = 0
ay + 0 + x + xz = 2 + cyz + z
ay + x + xz = 2 + cyz + z

Add '-1x' to each side of the equation.
ay + x + -1x + xz = 2 + cyz + -1x + z

Combine like terms: x + -1x = 0
ay + 0 + xz = 2 + cyz + -1x + z
ay + xz = 2 + cyz + -1x + z

Add '-1xz' to each side of the equation.
ay + xz + -1xz = 2 + cyz + -1x + -1xz + z

Combine like terms: xz + -1xz = 0
ay + 0 = 2 + cyz + -1x + -1xz + z
ay = 2 + cyz + -1x + -1xz + z

Divide each side by 'y'.
a = 2y-1 + cz + -1xy-1 + -1xy-1z + y-1z

Simplifying
a = 2y-1 + cz + -1xy-1 + -1xy-1z + y-1z

Reorder the terms:
a = cz + -1xy-1 + -1xy-1z + 2y-1 + y-1z

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