The "earned income tax credit" is called "jobbskatteavdrag" in Swedish and it's not easy to calculate. It lowers the tax on earnings from work, but not other income (mostly government payouts such as sick pay, parental leave pay, unemployment benefits, etc).
If I understand Skatteuträkningsbroschyren (the Tax Calculation Brochure) correctly, your jobbskatteavdrag will be 95 466.50 SEK minus 13 000 SEK (the grundavdrag for people with earnings of 348 900 SEK or above) times the municipality tax rate (32,4 % as per your question), which is 26 719.15 SEK.
Your total tax will then be (your earnings (480 000 SEK) minus the grundavdrag (13 000 SEK) times the municipality tax rate (32,4 %)) minus the jobbskatteavdrag (26 719.15 SEK), for a total of 124 588.85 SEK, on average 10 382.40 SEK per month.
Your employer will pay your tax for you, and they'll probably pay a bit more than what we've calculated here. All tax is calculated per year, and you don't have to apply for the credit - it is calculated automatically by the Swedish Tax Agency. The following year you will get a tax refund.
Here's more information about declaring taxes in Sweden.