y-3(y-x)=8x

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Solution for y-3(y-x)=8x equation:


Simplifying
y + -3(y + -1x) = 8x

Reorder the terms:
y + -3(-1x + y) = 8x
y + (-1x * -3 + y * -3) = 8x
y + (3x + -3y) = 8x

Reorder the terms:
3x + y + -3y = 8x

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

Solving
3x + -2y = 8x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -8x = -5x
-5x + -2y = 8x + -8x

Combine like terms: 8x + -8x = 0
-5x + -2y = 0

Add '2y' to each side of the equation.
-5x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
-5x + 0 = 0 + 2y
-5x = 0 + 2y
Remove the zero:
-5x = 2y

Divide each side by '-5'.
x = -0.4y

Simplifying
x = -0.4y

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