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

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


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

Reorder the terms:
4(-3x + y) = y + -5x
(-3x * 4 + y * 4) = y + -5x
(-12x + 4y) = y + -5x

Reorder the terms:
-12x + 4y = -5x + y

Solving
-12x + 4y = -5x + y

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-12x + 5x + 4y = -5x + 5x + y

Combine like terms: -12x + 5x = -7x
-7x + 4y = -5x + 5x + y

Combine like terms: -5x + 5x = 0
-7x + 4y = 0 + y
-7x + 4y = y

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

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

Combine like terms: y + -4y = -3y
-7x = -3y

Divide each side by '-7'.
x = 0.4285714286y

Simplifying
x = 0.4285714286y

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