3[3y-4]=y-8

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Solution for 3[3y-4]=y-8 equation:


Simplifying
3[3y + -4] = y + -8

Reorder the terms:
3[-4 + 3y] = y + -8
[-4 * 3 + 3y * 3] = y + -8
[-12 + 9y] = y + -8

Reorder the terms:
-12 + 9y = -8 + y

Solving
-12 + 9y = -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.
-12 + 9y + -1y = -8 + y + -1y

Combine like terms: 9y + -1y = 8y
-12 + 8y = -8 + y + -1y

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

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

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

Combine like terms: -8 + 12 = 4
8y = 4

Divide each side by '8'.
y = 0.5

Simplifying
y = 0.5

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