2x+by=ax-by

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Solution for 2x+by=ax-by equation:


Simplifying
2x + by = ax + -1by

Reorder the terms:
by + 2x = ax + -1by

Solving
by + 2x = ax + -1by

Solving for variable 'b'.

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

Add 'by' to each side of the equation.
by + by + 2x = ax + -1by + by

Combine like terms: by + by = 2by
2by + 2x = ax + -1by + by

Combine like terms: -1by + by = 0
2by + 2x = ax + 0
2by + 2x = ax

Add '-2x' to each side of the equation.
2by + 2x + -2x = ax + -2x

Combine like terms: 2x + -2x = 0
2by + 0 = ax + -2x
2by = ax + -2x

Divide each side by '2y'.
b = 0.5axy-1 + -1xy-1

Simplifying
b = 0.5axy-1 + -1xy-1

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