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Here is a general process for removing data that matches the ID of one array from another nested array:

1. Identify the ID of the array that you want to remove from the nested array.
2. Loop through the nested array and check if any of the arrays in the nested array have a matching ID.
3. If there is a match, remove the array with the matching ID from the nested array.
4. Repeat step 2 and 3 until all arrays with matching IDs have been removed.
5. Return the modified nested array.

Here is an example implementation in JavaScript:

function removeMatchingIds(mainArray, subArray) {
  const idsToRemove = subArray.map(item => item.id);

  mainArray.forEach(item => {
    item.nestedArray = item.nestedArray.filter(subItem => !idsToRemove.includes(subItem.id));
  });

  return mainArray;
}

In this example, mainArray is the array containing the nested arrays, and subArray is the array with the IDs of the arrays that should be removed. The function iterates through each item in mainArray and checks for matches with subArray. If a match is found, the corresponding item is removed from the nested array. Finally, the modified mainArray is returned.