To make your request work as you planned, put a condition in the sentence ON:
FROM category
LEFT JOIN web_page ON web_page.category_id = category
and web_page.active = "Y"
, ( , ), WHERE . - ( -), - null, (, "Y") null - false, , , .
, ON, , active = "Y", , null.
: " - ( )"
, " "... mysql, , , , , , , mysql.