3(y+2)+6y=51

Solution for 3(y+2)+6y=51 equation:

Simplifying
3(y + 2) + 6y = 51

Reorder the terms:
3(2 + y) + 6y = 51
(2 * 3 + y * 3) + 6y = 51
(6 + 3y) + 6y = 51

Combine like terms: 3y + 6y = 9y
6 + 9y = 51

Solving
6 + 9y = 51

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 = 51 + -6

Combine like terms: 6 + -6 = 0
0 + 9y = 51 + -6
9y = 51 + -6

Combine like terms: 51 + -6 = 45
9y = 45

Divide each side by '9'.
y = 5

Simplifying
y = 5