ax+b(2y)=c

Solution for ax+b(2y)=c equation:

Simplifying
ax + b(2y) = c

Remove parenthesis around (2y)
ax + b * 2y = c

Reorder the terms for easier multiplication:
ax + 2b * y = c

Multiply b * y
ax + 2by = c

Solving
ax + 2by = c

Solving for variable 'a'.

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

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

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

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

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