Batch translate layer in images residing in a folder for fixed x, and y amount. It will open each image file, then translate, then save the change replacing the file. If translating the layer outside of the image area, photoshop will interrupt and ask you whether or not to save. You can still continue to save manually. But make sure to select to…

batchLayerTranslate.jsx

var inputFolder = Folder.selectDialog ("Select a folder to process");
var fileList = inputFolder.getFiles("*.png");
for(var i=0; i<fileList.length; i++) {
    app.load(fileList[i]);
    backFile = app.activeDocument;
    backFile.layers[0].translate(10,-3);
    backFile.close(SaveOptions.SAVECHANGES);
 }