(x+Y)-b(X+Y)=

Solution for (x+Y)-b(X+Y)= equation:

Simplifying
(x + Y) + -1b(X + Y) = 0

Reorder the terms:
(Y + x) + -1b(X + Y) = 0

Remove parenthesis around (Y + x)
Y + x + -1b(X + Y) = 0
Y + x + (X * -1b + Y * -1b) = 0
Y + x + (-1bX + -1bY) = 0

Reorder the terms:
Y + -1bX + -1bY + x = 0

Solving
Y + -1bX + -1bY + x = 0

Solving for variable 'Y'.

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

Add 'bX' to each side of the equation.
Y + -1bX + -1bY + bX + x = 0 + bX

Reorder the terms:
Y + -1bX + bX + -1bY + x = 0 + bX

Combine like terms: -1bX + bX = 0
Y + 0 + -1bY + x = 0 + bX
Y + -1bY + x = 0 + bX
Remove the zero:
Y + -1bY + x = bX

Add '-1x' to each side of the equation.
Y + -1bY + x + -1x = bX + -1x

Combine like terms: x + -1x = 0
Y + -1bY + 0 = bX + -1x
Y + -1bY = bX + -1x

Reorder the terms:
Y + -1bX + -1bY + x = bX + -1x + -1bX + x

Reorder the terms:
Y + -1bX + -1bY + x = bX + -1bX + -1x + x

Combine like terms: bX + -1bX = 0
Y + -1bX + -1bY + x = 0 + -1x + x
Y + -1bX + -1bY + x = -1x + x

Combine like terms: -1x + x = 0
Y + -1bX + -1bY + x = 0

The solution to this equation could not be determined.