6(x-4)=y(4-3x)

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Solution for 6(x-4)=y(4-3x) equation:


Simplifying
6(x + -4) = y(4 + -3x)

Reorder the terms:
6(-4 + x) = y(4 + -3x)
(-4 * 6 + x * 6) = y(4 + -3x)
(-24 + 6x) = y(4 + -3x)
-24 + 6x = (4 * y + -3x * y)

Reorder the terms:
-24 + 6x = (-3xy + 4y)
-24 + 6x = (-3xy + 4y)

Solving
-24 + 6x = -3xy + 4y

Solving for variable 'x'.

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

Add '3xy' to each side of the equation.
-24 + 6x + 3xy = -3xy + 3xy + 4y

Combine like terms: -3xy + 3xy = 0
-24 + 6x + 3xy = 0 + 4y
-24 + 6x + 3xy = 4y

Add '24' to each side of the equation.
-24 + 6x + 24 + 3xy = 24 + 4y

Reorder the terms:
-24 + 24 + 6x + 3xy = 24 + 4y

Combine like terms: -24 + 24 = 0
0 + 6x + 3xy = 24 + 4y
6x + 3xy = 24 + 4y

Reorder the terms:
-24 + 6x + 3xy + -4y = 24 + 4y + -24 + -4y

Reorder the terms:
-24 + 6x + 3xy + -4y = 24 + -24 + 4y + -4y

Combine like terms: 24 + -24 = 0
-24 + 6x + 3xy + -4y = 0 + 4y + -4y
-24 + 6x + 3xy + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-24 + 6x + 3xy + -4y = 0

The solution to this equation could not be determined.

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