3(y-8)=-y

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


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

Reorder the terms:
3(-8 + y) = -1y
(-8 * 3 + y * 3) = -1y
(-24 + 3y) = -1y

Solving
-24 + 3y = -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-24 + 3y + y = -1y + y

Combine like terms: 3y + y = 4y
-24 + 4y = -1y + y

Combine like terms: -1y + y = 0
-24 + 4y = 0

Add '24' to each side of the equation.
-24 + 24 + 4y = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 4y = 0 + 24
4y = 0 + 24

Combine like terms: 0 + 24 = 24
4y = 24

Divide each side by '4'.
y = 6

Simplifying
y = 6

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