1bx-1y+cx-1z+by=cz

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Solution for 1bx-1y+cx-1z+by=cz equation: 


Simplifying
1bx + -1y + cx + -1z + by = cz

Reorder the terms:
1bx + by + cx + -1y + -1z = cz

Solving
1bx + by + cx + -1y + -1z = cz

Solving for variable 'b'.

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

Add '-1cx' to each side of the equation.
1bx + by + cx + -1y + -1cx + -1z = -1cx + cz

Reorder the terms:
1bx + by + cx + -1cx + -1y + -1z = -1cx + cz

Combine like terms: cx + -1cx = 0
1bx + by + 0 + -1y + -1z = -1cx + cz
1bx + by + -1y + -1z = -1cx + cz

Add 'y' to each side of the equation.
1bx + by + -1y + y + -1z = -1cx + cz + y

Combine like terms: -1y + y = 0
1bx + by + 0 + -1z = -1cx + cz + y
1bx + by + -1z = -1cx + cz + y

Add 'z' to each side of the equation.
1bx + by + -1z + z = -1cx + cz + y + z

Combine like terms: -1z + z = 0
1bx + by + 0 = -1cx + cz + y + z
1bx + by = -1cx + cz + y + z

Reorder the terms:
1bx + by + cx + -1cz + -1y + -1z = -1cx + cx + cz + -1cz + y + -1y + z + -1z

Combine like terms: -1cx + cx = 0
1bx + by + cx + -1cz + -1y + -1z = 0 + cz + -1cz + y + -1y + z + -1z
1bx + by + cx + -1cz + -1y + -1z = cz + -1cz + y + -1y + z + -1z

Combine like terms: cz + -1cz = 0
1bx + by + cx + -1cz + -1y + -1z = 0 + y + -1y + z + -1z
1bx + by + cx + -1cz + -1y + -1z = y + -1y + z + -1z

Combine like terms: y + -1y = 0
1bx + by + cx + -1cz + -1y + -1z = 0 + z + -1z
1bx + by + cx + -1cz + -1y + -1z = z + -1z

Combine like terms: z + -1z = 0
1bx + by + cx + -1cz + -1y + -1z = 0

The solution to this equation could not be determined.

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