FORMULA
The formula used to calculate the weight is given to be:

We can attempt to make the weight, w, the subject of the formula. This we can do by following the steps below:
Step 1: Add 3H to both sides of the formula

Step 2: Multiply both sides of the equation by 2

Step 3: Expand the brackets by multiplying through by 2

CALCULATION
The person is 5' 6". If 5' is subtracted from this height, we have 6 inches. Therefore:

Solving with this value, we can get the weight to be:

ANSWER
The healthy weight of a 5' 6" person is 142 pounds.