(y-8)=2-4y

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Solution for (y-8)=2-4y equation:


Simplifying
(y + -8) = 2 + -4y

Reorder the terms:
(-8 + y) = 2 + -4y

Remove parenthesis around (-8 + y)
-8 + y = 2 + -4y

Solving
-8 + y = 2 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-8 + y + 4y = 2 + -4y + 4y

Combine like terms: y + 4y = 5y
-8 + 5y = 2 + -4y + 4y

Combine like terms: -4y + 4y = 0
-8 + 5y = 2 + 0
-8 + 5y = 2

Add '8' to each side of the equation.
-8 + 8 + 5y = 2 + 8

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

Combine like terms: 2 + 8 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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