6+3y=6(2y+4)

Solution for 6+3y=6(2y+4) equation:

Simplifying
6 + 3y = 6(2y + 4)

Reorder the terms:
6 + 3y = 6(4 + 2y)
6 + 3y = (4 * 6 + 2y * 6)
6 + 3y = (24 + 12y)

Solving
6 + 3y = 24 + 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 = 24 + 12y + -12y

Combine like terms: 3y + -12y = -9y
6 + -9y = 24 + 12y + -12y

Combine like terms: 12y + -12y = 0
6 + -9y = 24 + 0
6 + -9y = 24

Add '-6' to each side of the equation.
6 + -6 + -9y = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -9y = 24 + -6
-9y = 24 + -6

Combine like terms: 24 + -6 = 18
-9y = 18

Divide each side by '-9'.
y = -2

Simplifying
y = -2