6y+3(y+2)=33

Solution for 6y+3(y+2)=33 equation:

Simplifying
6y + 3(y + 2) = 33

Reorder the terms:
6y + 3(2 + y) = 33
6y + (2 * 3 + y * 3) = 33
6y + (6 + 3y) = 33

Reorder the terms:
6 + 6y + 3y = 33

Combine like terms: 6y + 3y = 9y
6 + 9y = 33

Solving
6 + 9y = 33

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 9y = 33 + -6

Combine like terms: 6 + -6 = 0
0 + 9y = 33 + -6
9y = 33 + -6

Combine like terms: 33 + -6 = 27
9y = 27

Divide each side by '9'.
y = 3

Simplifying
y = 3