JSFiddle - React, Tailwind, and code Playground

JavaScript

myArray = [[{name:'theValue'},{name:'notTheValue'}],[{name:'notTheValue'},{name:'notTheValue'}]];

toRemove = 'theValue';

myArray.forEach(function(entry) {
    entry.forEach(function(entry) {
        toDelete = $.grep(entry, function(a) {
            return a == toRemove;
        });
        delete toDelete;
    });
});