6(2+3y)=12y+36

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Solution for 6(2+3y)=12y+36 equation:


Simplifying
6(2 + 3y) = 12y + 36
(2 * 6 + 3y * 6) = 12y + 36
(12 + 18y) = 12y + 36

Reorder the terms:
12 + 18y = 36 + 12y

Solving
12 + 18y = 36 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
12 + 18y + -12y = 36 + 12y + -12y

Combine like terms: 18y + -12y = 6y
12 + 6y = 36 + 12y + -12y

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

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

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

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

Divide each side by '6'.
y = 4

Simplifying
y = 4

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