Basically, the effect of exercise on our weight is overrated. That’s why it’s only number 15 on this list. There are other things you may need to take care of first. It’s not a good idea to eat unhealthy processed food, drink sugar water (so-called “sports drinks”) or be on medications which can force you to exercise for hours daily just to compensate. Metaphorically that’s like digging a hole, into which you put your ladder, on which you stand and paint the basement-level windows of your house.
When you eat less than 50 grams of carbs a day, your body eventually runs out of fuel (blood sugar) it can use quickly. This typically takes 3 to 4 days. Then you’ll start to break down protein and fat for energy, which can make you lose weight. This is called ketosis. It's important to note that the ketogenic diet is a short term diet that's focussed on weight loss rather than the pursuit of health benefits. 

Very low levels of thyroid hormone usually indicate an autoimmune reaction to the thyroid gland itself. This means you’ll have to take thyroid hormone supplements orally, usually the stable form T4 (Levaxin), which your doctor can prescribe for you. Your body will transform this into the active T3 hormone when necessary. The supplement dose should be adjusted so that you reach normal hormone levels (TSH, T3, T4) and sufficiently alleviate symptoms – though a few people may feel best when keeping TSH slightly below normal.
There’s a ton of incredibly promising intermittent fasting (IF) research done on fat rats. They lose weight, their blood pressure, cholesterol, and blood sugars improve… but they’re rats. Studies in humans, almost across the board, have shown that IF is safe and incredibly effective, but really no more effective than any other diet. In addition, many people find it difficult to fast.
Unsurprisingly, the results showed that nothing had happened to the weight of the women receiving calcium or the placebo. However, the group that took the multivitamin lost more weight – an average of 3.6 kg (8 pounds) more – and improved several of their health markers. Among other things, their basal metabolic rate (the rate at which the body burns calories when at rest) increased.
This is a new area, but the research that has come out since this article is also positive, and promising. One example: In this June 2018 study of 23 people with obesity, 12 weeks of 8-hour time-restricted feeding resulted a 2.6% decrease in body weight and a 7 point decrease in systolic blood pressure, which was significant when compared to controls:

Note: Because you'll be excluding some major food groups on the keto diet (grains, many fruits) you should definitely think about taking a multivitamin—especially one that contains folic acid, which helps your body make new cells and is often found in enriched breads, cereals, and other grain products, says Julie Upton, R.D., cofounder of nutrition website Appetite for Health.
Be choosy about carbs. You can decide which ones you eat, and how much. Look for those that are low on the glycemic index (for instance, asparagus is lower on the glycemic index than a potato) or lower in carbs per serving than others. Whole grains are better choices than processed items, because processing removes key nutrients such as fiber, iron, and B vitamins. They may be added back, such as in “enriched” bread.