(Xy-ab-2)-(xy-7b-1)=

Solution for (Xy-ab-2)-(xy-7b-1)= equation:

Simplifying
(Xy + -1ab + -2) + -1(xy + -7b + -1) = 0

Reorder the terms:
(-2 + -1ab + yX) + -1(xy + -7b + -1) = 0

Remove parenthesis around (-2 + -1ab + yX)
-2 + -1ab + yX + -1(xy + -7b + -1) = 0

Reorder the terms:
-2 + -1ab + yX + -1(-1 + -7b + xy) = 0
-2 + -1ab + yX + (-1 * -1 + -7b * -1 + xy * -1) = 0
-2 + -1ab + yX + (1 + 7b + -1xy) = 0

Reorder the terms:
-2 + 1 + -1ab + 7b + -1xy + yX = 0

Combine like terms: -2 + 1 = -1
-1 + -1ab + 7b + -1xy + yX = 0

Solving
-1 + -1ab + 7b + -1xy + yX = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + -1ab + 7b + -1xy + 1 + yX = 0 + 1

Reorder the terms:
-1 + 1 + -1ab + 7b + -1xy + yX = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1ab + 7b + -1xy + yX = 0 + 1
-1ab + 7b + -1xy + yX = 0 + 1

Combine like terms: 0 + 1 = 1
-1ab + 7b + -1xy + yX = 1

Add '-7b' to each side of the equation.
-1ab + 7b + -1xy + -7b + yX = 1 + -7b

Reorder the terms:
-1ab + 7b + -7b + -1xy + yX = 1 + -7b

Combine like terms: 7b + -7b = 0
-1ab + 0 + -1xy + yX = 1 + -7b
-1ab + -1xy + yX = 1 + -7b

Add 'xy' to each side of the equation.
-1ab + -1xy + xy + yX = 1 + -7b + xy

Combine like terms: -1xy + xy = 0
-1ab + 0 + yX = 1 + -7b + xy
-1ab + yX = 1 + -7b + xy

Add '-1yX' to each side of the equation.
-1ab + yX + -1yX = 1 + -7b + xy + -1yX

Combine like terms: yX + -1yX = 0
-1ab + 0 = 1 + -7b + xy + -1yX
-1ab = 1 + -7b + xy + -1yX

Divide each side by '-1b'.
a = -1b-1 + 7 + -1b-1xy + b-1yX

Simplifying
a = -1b-1 + 7 + -1b-1xy + b-1yX

Reorder the terms:
a = 7 + -1b-1 + -1b-1xy + b-1yX