Finding Relationships Between Two Numbers

Tom and Anna are playing a fun game with numbers. Tom thinks of a number, doubles it, and then adds 6. Anna, on the other hand, thinks of a different number, triples it, and then subtracts 4. If the results from both choices are equal, which of the following statements is true about the relationship between Tom's number (${x}$) and Anna's number (${y}$)?

Express this relationship in terms of an equation.