y-4(3y-6)=y-8

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Solution for y-4(3y-6)=y-8 equation: 


Simplifying
y + -4(3y + -6) = y + -8

Reorder the terms:
y + -4(-6 + 3y) = y + -8
y + (-6 * -4 + 3y * -4) = y + -8
y + (24 + -12y) = y + -8

Reorder the terms:
24 + y + -12y = y + -8

Combine like terms: y + -12y = -11y
24 + -11y = y + -8

Reorder the terms:
24 + -11y = -8 + y

Solving
24 + -11y = -8 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
24 + -11y + -1y = -8 + y + -1y

Combine like terms: -11y + -1y = -12y
24 + -12y = -8 + y + -1y

Combine like terms: y + -1y = 0
24 + -12y = -8 + 0
24 + -12y = -8

Add '-24' to each side of the equation.
24 + -24 + -12y = -8 + -24

Combine like terms: 24 + -24 = 0
0 + -12y = -8 + -24
-12y = -8 + -24

Combine like terms: -8 + -24 = -32
-12y = -32

Divide each side by '-12'.
y = 2.666666667

Simplifying
y = 2.666666667

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