Answer:
49[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
I'm going to assume the number on the right side of the equation is 5.5, just to make things easier.
Now, to begin to solve this, first isolate the variable.
1/8y - 2/3 = 5 1/2
We do this by adding 2/3 to both sides.
1/8y = 5 1/2 + 2/3
Now, we just wipe off the coefficient that is stuck to the variable by dividing both sides by 1/8, which can be easier done by multiplying by the reciprocal (I converted the mixed number into an improper fraction before solving to facilitate the process).
y = (37/6) · 8
y = 296/6
y = 49 2/6 = 49 1/3
