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

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


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

Reorder the terms:
12(3 + y) = 3(2y + 4)
(3 * 12 + y * 12) = 3(2y + 4)
(36 + 12y) = 3(2y + 4)

Reorder the terms:
36 + 12y = 3(4 + 2y)
36 + 12y = (4 * 3 + 2y * 3)
36 + 12y = (12 + 6y)

Solving
36 + 12y = 12 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
36 + 12y + -6y = 12 + 6y + -6y

Combine like terms: 12y + -6y = 6y
36 + 6y = 12 + 6y + -6y

Combine like terms: 6y + -6y = 0
36 + 6y = 12 + 0
36 + 6y = 12

Add '-36' to each side of the equation.
36 + -36 + 6y = 12 + -36

Combine like terms: 36 + -36 = 0
0 + 6y = 12 + -36
6y = 12 + -36

Combine like terms: 12 + -36 = -24
6y = -24

Divide each side by '6'.
y = -4

Simplifying
y = -4

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