Help! My Tomatoes Are Dying!!!

Can anyone help me? My tomatoes that I re-potted are not doing well. In fact they look like they are dying and some already have. I planted these tomatoes in Miracle Grow starting soil, like we do each year. They seemed to be doing well and I re-potted them using the same soil. I put them in Styrofoam cups and cut a slit in the bottom of each cup so that they would drain well. I have all my plants setting in front of double glass doors that open up on to my deck and in good weather when it is 50 degrees or warmer I put them out on the deck. The deck does not have a roof over it. They get some sun but are mostly in the shade of the house.
Did I put them out in the sun too soon? Do the cups I put them in affect them? Did I mess up the roots when I transplanted them to bigger pots? What can I do to save them? Does anyone have an answer to any of these questions?
I still have a couple of flats of tomatoes that I started a bit later and have not re-potted them. The look pretty good and I am hoping they don’t go bad like these ones. I planted my peppers at the same tome and have not re-potted them either and they are doing fine. These are all heirloom plants and I desperately wanted these plants to do good so that I could save the seeds this year.
Here are some pictures so you can see what they look like. Any suggestions would be appreciated.

Tomatoes need soil to be about 70 degrees to do well. When we repotted ours we lost some too, may have been root shock. How long ago did you transplant them?

I transplanted them about 3 weeks ago (I think).

Maybe it's still too cold to put them outside yet.

Maybe. I thought that putting them outside during the day would give them more light and help them. I always bring them in at night or if the weather is below 50 degrees. Maybe I should just leave them inside.
My peppers are all doing real good and they have gotten the same treatment except I didn't transplant them.

Do you have a heat lamp or grow light you can put them under? That might help some. I don't think peppers are as sensitive as tomatoes. Tomatoes do better with warmer soil.

I do have a lamp that I used for my chick brooder when I had chickens. Is that what you mean? I could hook that up.

That should work. Make sure it's not close enough to burn the plants, but is close enough to heat up the soil. I had always heard the soil temp needs to be about 70 degrees, but found this article on it:

Those tomato and pepper plants, along with the summer flowers you started from seed? Keep them protected, indoors, until mid-April. Then, gradually acclimate them to the outdoors as well.


The main problem with outdoor planting of tomato and pepper plants this time of year? Soil temperature. Those summer vegetables do not start actively growing until soil temps reach the mid-60's, and don't really take off with food production until soil temperatures are above 70. Right now? Soil temperatures are hovering around 50 degrees here in the Sacramento area
http://farmerfredrant.blogspot.com/2011/01/starting-tomato-pepper-seeds-indoors.html

Thanks Sonshine, That is a good article.
I'll try the light and see what happens.
I started my own plants last year and didn't have any problems like this.

I've never had luck without a light for heat. I always start my seeds in January and by this time of the year they're ready to plant. Of course, I can plant earlier than you because of being in the south. Hope they make it.

excellent advice, I never had any luck with out having the seedlings in mostly sunny areas or under grow lights