=6-x-y(2x-3)-4xy+8y

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Solution for =6-x-y(2x-3)-4xy+8y equation:


Simplifying
0 = 6 + -1x + -1y(2x + -3) + -4xy + 8y

Reorder the terms:
0 = 6 + -1x + -1y(-3 + 2x) + -4xy + 8y
0 = 6 + -1x + (-3 * -1y + 2x * -1y) + -4xy + 8y

Reorder the terms:
0 = 6 + -1x + (-2xy + 3y) + -4xy + 8y
0 = 6 + -1x + (-2xy + 3y) + -4xy + 8y

Reorder the terms:
0 = 6 + -1x + -2xy + -4xy + 3y + 8y

Combine like terms: -2xy + -4xy = -6xy
0 = 6 + -1x + -6xy + 3y + 8y

Combine like terms: 3y + 8y = 11y
0 = 6 + -1x + -6xy + 11y

Solving
0 = 6 + -1x + -6xy + 11y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
0 + x = 6 + -1x + -6xy + x + 11y
Remove the zero:
x = 6 + -1x + -6xy + x + 11y

Reorder the terms:
x = 6 + -1x + x + -6xy + 11y

Combine like terms: -1x + x = 0
x = 6 + 0 + -6xy + 11y
x = 6 + -6xy + 11y

Add '6xy' to each side of the equation.
x + 6xy = 6 + -6xy + 6xy + 11y

Combine like terms: -6xy + 6xy = 0
x + 6xy = 6 + 0 + 11y
x + 6xy = 6 + 11y

Reorder the terms:
-6 + x + 6xy + -11y = 6 + 11y + -6 + -11y

Reorder the terms:
-6 + x + 6xy + -11y = 6 + -6 + 11y + -11y

Combine like terms: 6 + -6 = 0
-6 + x + 6xy + -11y = 0 + 11y + -11y
-6 + x + 6xy + -11y = 11y + -11y

Combine like terms: 11y + -11y = 0
-6 + x + 6xy + -11y = 0

The solution to this equation could not be determined.

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