Use LINQ to remove the first column in a DatagGridView for each control in a ControlCollection

So, the non-LINQ way would be something like this:

foreach(Control cont in panel1.Controls)
{
    if (cont is DataGridView)
    {
        var grid = cont as DataGridView;
        grid.Columns.RemoveAt(0);
    }
}

I have tried doing this in Linq. Its more for the learning experience than specifically doing it the best way. Anyway this is where I am at so far, but it does not work obviously.

panel1.Controls = panel1.Controls
                        .AsParallel()
                        .OfType<DataGridView>()
                        .Select(grid => grid.Columns
                                            .OfType<DataGridViewColumn>()
                                            .Skip(1));

So what can be done to amend the linq query?