12(y+2)=3(y+4)

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Solution for 12(y+2)=3(y+4) equation: 


Simplifying
12(y + 2) = 3(y + 4)

Reorder the terms:
12(2 + y) = 3(y + 4)
(2 * 12 + y * 12) = 3(y + 4)
(24 + 12y) = 3(y + 4)

Reorder the terms:
24 + 12y = 3(4 + y)
24 + 12y = (4 * 3 + y * 3)
24 + 12y = (12 + 3y)

Solving
24 + 12y = 12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
24 + 12y + -3y = 12 + 3y + -3y

Combine like terms: 12y + -3y = 9y
24 + 9y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
24 + 9y = 12 + 0
24 + 9y = 12

Add '-24' to each side of the equation.
24 + -24 + 9y = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 9y = 12 + -24
9y = 12 + -24

Combine like terms: 12 + -24 = -12
9y = -12

Divide each side by '9'.
y = -1.333333333

Simplifying
y = -1.333333333

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