4(x-y)=7(x+2)y

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Solution for 4(x-y)=7(x+2)y equation:


Simplifying
4(x + -1y) = 7(x + 2) * y
(x * 4 + -1y * 4) = 7(x + 2) * y
(4x + -4y) = 7(x + 2) * y

Reorder the terms:
4x + -4y = 7(2 + x) * y

Reorder the terms for easier multiplication:
4x + -4y = 7y(2 + x)
4x + -4y = (2 * 7y + x * 7y)

Reorder the terms:
4x + -4y = (7xy + 14y)
4x + -4y = (7xy + 14y)

Solving
4x + -4y = 7xy + 14y

Solving for variable 'x'.

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

Add '-7xy' to each side of the equation.
4x + -7xy + -4y = 7xy + -7xy + 14y

Combine like terms: 7xy + -7xy = 0
4x + -7xy + -4y = 0 + 14y
4x + -7xy + -4y = 14y

Add '4y' to each side of the equation.
4x + -7xy + -4y + 4y = 14y + 4y

Combine like terms: -4y + 4y = 0
4x + -7xy + 0 = 14y + 4y
4x + -7xy = 14y + 4y

Combine like terms: 14y + 4y = 18y
4x + -7xy = 18y

Combine like terms: 18y + -18y = 0
4x + -7xy + -18y = 0

The solution to this equation could not be determined.

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