2(y+3)+6y=38

Solution for 2(y+3)+6y=38 equation:

Simplifying
2(y + 3) + 6y = 38

Reorder the terms:
2(3 + y) + 6y = 38
(3 * 2 + y * 2) + 6y = 38
(6 + 2y) + 6y = 38

Combine like terms: 2y + 6y = 8y
6 + 8y = 38

Solving
6 + 8y = 38

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 + 8y = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 8y = 38 + -6
8y = 38 + -6

Combine like terms: 38 + -6 = 32
8y = 32

Divide each side by '8'.
y = 4

Simplifying
y = 4