1/2y+8=2y-3 solve for y

(1/2) y + 8 = 2y - 3

Add 3 to both sides

(1/2) y + 11 = 2y

Subtract (1/2) y from both sides

11 = (3/2) y

Multiply both sides by (2/3)

22/3 = y

Answer: 22/3

Check:

(1/2) (22/3) + 8 = 11/3 + 24/3 = 35/3

2 (22/3) - 3 = 44/3 - 9/3 = 35/3, good