3(y-2)=y-8

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Solution for 3(y-2)=y-8 equation:


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

Reorder the terms:
3(-2 + y) = y + -8
(-2 * 3 + y * 3) = y + -8
(-6 + 3y) = y + -8

Reorder the terms:
-6 + 3y = -8 + y

Solving
-6 + 3y = -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.
-6 + 3y + -1y = -8 + y + -1y

Combine like terms: 3y + -1y = 2y
-6 + 2y = -8 + y + -1y

Combine like terms: y + -1y = 0
-6 + 2y = -8 + 0
-6 + 2y = -8

Add '6' to each side of the equation.
-6 + 6 + 2y = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 2y = -8 + 6
2y = -8 + 6

Combine like terms: -8 + 6 = -2
2y = -2

Divide each side by '2'.
y = -1

Simplifying
y = -1

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