by+cx=bx-cy

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Solution for by+cx=bx-cy equation:


Simplifying
by + cx = bx + -1cy

Solving
by + cx = bx + -1cy

Solving for variable 'b'.

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

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

Reorder the terms:
-1bx + by + cx = bx + -1bx + -1cy

Combine like terms: bx + -1bx = 0
-1bx + by + cx = 0 + -1cy
-1bx + by + cx = -1cy

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

Combine like terms: cx + -1cx = 0
-1bx + by + 0 = -1cx + -1cy
-1bx + by = -1cx + -1cy

Reorder the terms:
-1bx + by + cx + cy = -1cx + cx + -1cy + cy

Combine like terms: -1cx + cx = 0
-1bx + by + cx + cy = 0 + -1cy + cy
-1bx + by + cx + cy = -1cy + cy

Combine like terms: -1cy + cy = 0
-1bx + by + cx + cy = 0

The solution to this equation could not be determined.

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