6y+6=3(y+4)

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

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

Reorder the terms:
6 + 6y = 3(y + 4)

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

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

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

Combine like terms: 3y + -3y = 0
6 + 3y = 12 + 0
6 + 3y = 12

Add '-6' to each side of the equation.
6 + -6 + 3y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = 12 + -6
3y = 12 + -6

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

Divide each side by '3'.
y = 2

Simplifying
y = 2