Sowas einfaches?
<?php
$daysToAdd = 7;
$monthsToAdd = 0;
$yearsToAdd = 0;
list($Y, $m, $d) = explode('-', '2016-03-27');
echo date( 'Y-m-d', mktime(0,0,0, $m+$monthsToAdd, $d+$daysToAdd, $Y+$yearsToAdd) );
echo "\n";
2016-04-03
Rückwärts:
<?php
$daysToAdd = -7;
$monthsToAdd = 0;
$yearsToAdd = 0;
list($Y, $m, $d) = explode('-', '2016-04-03');
echo date( 'Y-m-d', mktime(0,0,0, $m+$monthsToAdd, $d+$daysToAdd, $Y+$yearsToAdd) );
echo "\n";
2016-03-27