(y-3)x+4(y-5)=3.2

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Solution for (y-3)x+4(y-5)=3.2 equation:


Simplifying
(y + -3) * x + 4(y + -5) = 3.2

Reorder the terms:
(-3 + y) * x + 4(y + -5) = 3.2

Reorder the terms for easier multiplication:
x(-3 + y) + 4(y + -5) = 3.2
(-3 * x + y * x) + 4(y + -5) = 3.2
(-3x + xy) + 4(y + -5) = 3.2

Reorder the terms:
-3x + xy + 4(-5 + y) = 3.2
-3x + xy + (-5 * 4 + y * 4) = 3.2
-3x + xy + (-20 + 4y) = 3.2

Reorder the terms:
-20 + -3x + xy + 4y = 3.2

Solving
-20 + -3x + xy + 4y = 3.2

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + -3x + xy + 20 + 4y = 3.2 + 20

Reorder the terms:
-20 + 20 + -3x + xy + 4y = 3.2 + 20

Combine like terms: -20 + 20 = 0
0 + -3x + xy + 4y = 3.2 + 20
-3x + xy + 4y = 3.2 + 20

Combine like terms: 3.2 + 20 = 23.2
-3x + xy + 4y = 23.2

Add '-4y' to each side of the equation.
-3x + xy + 4y + -4y = 23.2 + -4y

Combine like terms: 4y + -4y = 0
-3x + xy + 0 = 23.2 + -4y
-3x + xy = 23.2 + -4y

Reorder the terms:
-23.2 + -3x + xy + 4y = 23.2 + -4y + -23.2 + 4y

Reorder the terms:
-23.2 + -3x + xy + 4y = 23.2 + -23.2 + -4y + 4y

Combine like terms: 23.2 + -23.2 = 0.0
-23.2 + -3x + xy + 4y = 0.0 + -4y + 4y
-23.2 + -3x + xy + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
-23.2 + -3x + xy + 4y = 0

The solution to this equation could not be determined.

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