(x-1)y+4xy+2y=1x

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Solution for (x-1)y+4xy+2y=1x equation:


Simplifying
(x + -1) * y + 4xy + 2y = 1x

Reorder the terms:
(-1 + x) * y + 4xy + 2y = 1x

Reorder the terms for easier multiplication:
y(-1 + x) + 4xy + 2y = 1x
(-1 * y + x * y) + 4xy + 2y = 1x

Reorder the terms:
(xy + -1y) + 4xy + 2y = 1x
(xy + -1y) + 4xy + 2y = 1x

Reorder the terms:
xy + 4xy + -1y + 2y = 1x

Combine like terms: xy + 4xy = 5xy
5xy + -1y + 2y = 1x

Combine like terms: -1y + 2y = 1y
5xy + 1y = 1x

Solving
5xy + 1y = 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5xy + -1x + 1y = 1x + -1x

Reorder the terms:
-1x + 5xy + 1y = 1x + -1x

Combine like terms: 1x + -1x = 0
-1x + 5xy + 1y = 0

Add '-1y' to each side of the equation.
-1x + 5xy + 1y + -1y = 0 + -1y

Combine like terms: 1y + -1y = 0
-1x + 5xy + 0 = 0 + -1y
-1x + 5xy = 0 + -1y
Remove the zero:
-1x + 5xy = -1y

Combine like terms: -1y + y = 0
-1x + 5xy + y = 0

The solution to this equation could not be determined.

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