3(y+2)+.5y=41

Solution for 3(y+2)+.5y=41 equation:

Simplifying
3(y + 2) + 0.5y = 41

Reorder the terms:
3(2 + y) + 0.5y = 41
(2 * 3 + y * 3) + 0.5y = 41
(6 + 3y) + 0.5y = 41

Combine like terms: 3y + 0.5y = 3.5y
6 + 3.5y = 41

Solving
6 + 3.5y = 41

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 + 3.5y = 41 + -6

Combine like terms: 6 + -6 = 0
0 + 3.5y = 41 + -6
3.5y = 41 + -6

Combine like terms: 41 + -6 = 35
3.5y = 35

Divide each side by '3.5'.
y = 10

Simplifying
y = 10