How do I handle a long gap on my résumé? after 3 years as a data-entry clerk

My résumé shows a gap from a layoff and some health issues. I have been trying to stay organised about it. I am nervous about being filtered out. What do you say in interviews?

Thanks for writing this out. I went through something close to it last year, and it settled down once I kept a simple log of every call and form.

I was hired after a 12-month gap. The manager said the skills test mattered more than the dates.