Cupcake and Cookie Sales Problem

A bakery sells cupcakes and cookies. Each cupcake costs $$3$$ and each cookie costs $$2$$. The total revenue from selling $$x$$ cupcakes and $$y$$ cookies is $$54$$.

Using the equation $$3x + 2y = 54$$, determine how many cupcakes could possibly be sold if at least $$6$$ cookies are sold.