Show me the steps to solve $11.$ Taylor$$s $2023$ health insurance premiums of $$7,800$ are paid by her employer. During $2023,$ Taylor requires surgery on her vocal cords. The cost of the surgery is $$10,000$ and Taylor$$s insurance covers all but $$500,$ which Taylor pays herself. How much is Taylor$$s gross income from these health$-$related transactions?

a$.$ $$0$

b$.$ $$7,800$

c$.$ $$9,500$

d$.$ $$10,000$

e$.$ $$17,800$