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

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

Simplifying
3(y + 2) = 6(2y)

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

Remove parenthesis around (2y)
6 + 3y = 6 * 2y

Multiply 6 * 2
6 + 3y = 12y

Solving
6 + 3y = 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.
6 + 3y + -12y = 12y + -12y

Combine like terms: 3y + -12y = -9y
6 + -9y = 12y + -12y

Combine like terms: 12y + -12y = 0
6 + -9y = 0

Add '-6' to each side of the equation.
6 + -6 + -9y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -9y = 0 + -6
-9y = 0 + -6

Combine like terms: 0 + -6 = -6
-9y = -6

Divide each side by '-9'.
y = 0.6666666667

Simplifying
y = 0.6666666667