The word "decent" and supermarket brand/high street brand and multivitamin don't go together in any way.
Multivitamins tend to contain little enough of anything to be of help, particularly with low levels or deficiencies which many Hypo patients have. You've given the NRV but not the amount of any of the ingredients.
They tend to contain the cheapest and least absorbable form of the active ingredients, for example - folic acid instead of the recommended methylfolate, cyanobalamin instead of the recommended methylcobalamin.
Plus they often contain some ingredients which should be tested first and only supplemented if found to be deficient - i.e. calcium, iodine and iron.
When they contain iron, that affects the absorption of anything else because iron needs to be taken 2 hours away from all other supplements.
The best thing to do (apart from ditching them) is test
Vit D
B12
Folate
Ferritin
and address any low levels or deficiencies separately with good quality supplements, you can always ask on here for suggestions.
Getting tested for any deficiencies is always first step
Ask GP to test .....For full Thyroid evaluation you need TSH, FT4 and FT3 plus both TPO and TG thyroid antibodies tested. Also extremely important to test vitamin D, folate, ferritin and B12
Low vitamin levels are extremely common, especially if Thyroid antibodies are raised
All thyroid blood tests should ideally be done as early as possible in morning and fasting. Do not take Levothyroxine dose in the 24 hours prior to test, delay and take immediately after blood draw. This gives highest TSH, lowest FT4 and most consistent results. (Patient to patient tip, best not mentioned to GP or phlebotomist)
Private tests are available. Thousands on here forced to do this as NHS often refuses to test FT3 or antibodies
Medichecks Thyroid plus ultra vitamin or Blue Horizon Thyroid plus eleven are the most popular choice. DIY finger prick test or option to pay extra for private blood draw. Both companies often have special offers, Medichecks usually have offers on Thursdays, Blue Horizon its more random
The copper content is also a concern for hypos. Most hypos tend to be high in copper and low in zinc. And, as you know, these two should be kept balanced. But, if you take both, you are maintaining the imbalance. And, you could also go into over-dose of copper - which is no fun, either. So, just another reason why multi-vits are such a very bad idea!
Supermarket supplements AND most big name brands are pretty useless as they are mostly cheap synthetic vits and poor quality mins. Find yourself a good wholefood shop, one that's run by its owner. They are usually very knowledgeable. The one I go to is run by Pharmacist who gave up her 'conventional' business because she didn't like the 'one size fits all' approach.
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over active thyroid 
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