(ax-by)=2b

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Solution for (ax-by)=2b equation: 


Simplifying
(ax + -1by) = 2b

Remove parenthesis around (ax + -1by)
ax + -1by = 2b

Solving
ax + -1by = 2b

Solving for variable 'a'.

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

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

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

Divide each side by 'x'.
a = 2bx-1 + bx-1y

Simplifying
a = 2bx-1 + bx-1y

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