I don't know how anybody manages to live on the minimum wage. Maybe you could ask them how they do it. They might feel flattered by your admiration for their achievement and thus willing to explain.
Beyond that, I suppose living on a tiny income is a matter of making every dollar count, of thinking before you spend or consume anything. Do you really need it? Is there a cheaper way? Can you make / repair stuff instead of buying it new? Maybe there's a food pantry, assuming you're not already using one. I've heard of church charities that will pay an overdue electricity bill when the user gets a shutoff notice for non-payment, but it seems a risky strategy and if you're as secular as I am, you won't like the bit where they get you to pray with them, if they do that.
The hippies I knew were often good at finding ways of doing things without spending much money. I wish I could remember more of their tricks. I used to have a book called Alternative London which was full of ideas for getting stuff for nothing.
At one time I got obsessed with reducing my grocery bills to the absolute minumum. I went round every shop and took notes on the prices, and was surprised how much I could save by using that information. I took it to extreme levels, and people were surprised how low my food bills were. But it was a lot of work, and I had the advantage of coming from a family who'd always had to be very thrifty, so it was already in my nature to be a cheapskate. I was also lucky enough to have something like a reasonable income, so I had the spare money to bulk buy stuff while it was cheap. They didn't have central heating for ages. My parents just heated the living room with a gas fire, and if they really wanted to heat another room, they'd use a small paraffin heater which didn't make it very warm but was very cheap to run.