<?php
$array=[
['day'=>'11','movements'=>'1'],
['day'=>'11','movements'=>'1'],
['day'=>'11','movements'=>'1'],
['day'=>'12','movements'=>'1'],
['day'=>'12','movements'=>'1'],
['day'=>'12','movements'=>'1']
];
foreach($array as $row){ // iterate all rows
if(!isset($result[$row['day']])){ // if first occurrence of day...
$result[$row['day']]=$row; // save the full row with day as the temporary key
}else{ // if not the first occurrence of day...
$result[$row['day']]['movements']+=$row['movements']; // add movements value
}
}
var_export(array_values($result));