(3x-4y)+(x-y)=4x-5y

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Solution for (3x-4y)+(x-y)=4x-5y equation: 


Simplifying
(3x + -4y) + (x + -1y) = 4x + -5y

Remove parenthesis around (3x + -4y)
3x + -4y + (x + -1y) = 4x + -5y

Remove parenthesis around (x + -1y)
3x + -4y + x + -1y = 4x + -5y

Reorder the terms:
3x + x + -4y + -1y = 4x + -5y

Combine like terms: 3x + x = 4x
4x + -4y + -1y = 4x + -5y

Combine like terms: -4y + -1y = -5y
4x + -5y = 4x + -5y

Add '-4x' to each side of the equation.
4x + -4x + -5y = 4x + -4x + -5y

Combine like terms: 4x + -4x = 0
0 + -5y = 4x + -4x + -5y
-5y = 4x + -4x + -5y

Combine like terms: 4x + -4x = 0
-5y = 0 + -5y
-5y = -5y

Add '5y' to each side of the equation.
-5y + 5y = -5y + 5y

Combine like terms: -5y + 5y = 0
0 = -5y + 5y

Combine like terms: -5y + 5y = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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