4(y-6)=(y+2)

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Solution for 4(y-6)=(y+2) equation:


Simplifying
4(y + -6) = (y + 2)

Reorder the terms:
4(-6 + y) = (y + 2)
(-6 * 4 + y * 4) = (y + 2)
(-24 + 4y) = (y + 2)

Reorder the terms:
-24 + 4y = (2 + y)

Remove parenthesis around (2 + y)
-24 + 4y = 2 + y

Solving
-24 + 4y = 2 + 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 + 4y + -1y = 2 + y + -1y

Combine like terms: 4y + -1y = 3y
-24 + 3y = 2 + y + -1y

Combine like terms: y + -1y = 0
-24 + 3y = 2 + 0
-24 + 3y = 2

Add '24' to each side of the equation.
-24 + 24 + 3y = 2 + 24

Combine like terms: -24 + 24 = 0
0 + 3y = 2 + 24
3y = 2 + 24

Combine like terms: 2 + 24 = 26
3y = 26

Divide each side by '3'.
y = 8.666666667

Simplifying
y = 8.666666667

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