(2x+3)(4-y)=12

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Solution for (2x+3)(4-y)=12 equation: 


Simplifying
(2x + 3)(4 + -1y) = 12

Reorder the terms:
(3 + 2x)(4 + -1y) = 12

Multiply (3 + 2x) * (4 + -1y)
(3(4 + -1y) + 2x * (4 + -1y)) = 12
((4 * 3 + -1y * 3) + 2x * (4 + -1y)) = 12
((12 + -3y) + 2x * (4 + -1y)) = 12
(12 + -3y + (4 * 2x + -1y * 2x)) = 12
(12 + -3y + (8x + -2xy)) = 12

Reorder the terms:
(12 + 8x + -2xy + -3y) = 12
(12 + 8x + -2xy + -3y) = 12

Add '-12' to each side of the equation.
12 + 8x + -2xy + -12 + -3y = 12 + -12

Reorder the terms:
12 + -12 + 8x + -2xy + -3y = 12 + -12

Combine like terms: 12 + -12 = 0
0 + 8x + -2xy + -3y = 12 + -12
8x + -2xy + -3y = 12 + -12

Combine like terms: 12 + -12 = 0
8x + -2xy + -3y = 0

Solving
8x + -2xy + -3y = 0

Solving for variable 'x'.

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

Add '3y' to each side of the equation.
8x + -2xy + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
8x + -2xy + 0 = 0 + 3y
8x + -2xy = 0 + 3y
Remove the zero:
8x + -2xy = 3y

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

The solution to this equation could not be determined.

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