Filter a list of list based on data

I've this data

      x ← ((1 'data1') (0 'data2') (0 'data3') (1 'data4') )
      x
┌─────────┬─────────┬─────────┬─────────┐
│┌─┬─────┐│┌─┬─────┐│┌─┬─────┐│┌─┬─────┐│
││1│data1│││0│data2│││0│data3│││1│data4││
│└─┴─────┘│└─┴─────┘│└─┴─────┘│└─┴─────┘│
└─────────┴─────────┴─────────┴─────────┘

I would like to filter the array like this

┌─────────┬─────────┐
│┌─┬─────┐│┌─┬─────┐│
││1│data1│││1│data4││
│└─┴─────┘│└─┴─────┘│
└─────────┴─────────┘

How can I achieve this?

I've tried this but it didn't work, it takes in account the first element only.

      ((⊃y)[1])/y←x
┌─────────┬─────────┬─────────┬─────────┐
│┌─┬─────┐│┌─┬─────┐│┌─┬─────┐│┌─┬─────┐│
││1│data1│││0│data2│││0│data3│││1│data4││
│└─┴─────┘│└─┴─────┘│└─┴─────┘│└─┴─────┘│
└─────────┴─────────┴─────────┴─────────┘

Solution

Good news is that you got it almost right. Not bad for your first day of APL!

This minimal change to your code will do the trick:

      ((⊃¨y)=1)/y←x
┌─────────┬─────────┐
│┌─┬─────┐│┌─┬─────┐│
││1│data1│││1│data4││
│└─┴─────┘│└─┴─────┘│
└─────────┴─────────┘

However, there's no need to make a copy of x into y, since APL is normally pass-by-value. Furthermore, = is commutative, so we can get rid of the inner parenthesis:

      (1=⊃¨x)/x
┌─────────┬─────────┐
│┌─┬─────┐│┌─┬─────┐│
││1│data1│││1│data4││
│└─┴─────┘│└─┴─────┘│
└─────────┴─────────┘

You can then assign this to y:

      y← (1=⊃¨x)/x
      y
┌─────────┬─────────┐
│┌─┬─────┐│┌─┬─────┐│
││1│data1│││1│data4││
│└─┴─────┘│└─┴─────┘│
└─────────┴─────────┘

In fact, we can get rid of the outer parenthesis too, by explicitly commuting /:

      x/⍨1=⊃¨x
┌─────────┬─────────┐
│┌─┬─────┐│┌─┬─────┐│
││1│data1│││1│data4││
│└─┴─────┘│└─┴─────┘│
└─────────┴─────────┘

Alternatively, we can make y a copy of x and then filter y in-place:

      y/⍨←1=⊃¨y←x
      y
┌─────────┬─────────┐
│┌─┬─────┐│┌─┬─────┐│
││1│data1│││1│data4││
│└─┴─────┘│└─┴─────┘│
└─────────┴─────────┘