Shell Programming and Scripting

cat myname.txt
John Doe I
John Doe II
John Doe III
-----------------------------------------------------------------------
for i in `cat myname.txt`
do
echo This is my name: $i >> thi.is.my.name.txt
done
-----------------------------------------------------------------------
cat thi.is.my.name.txt
This is my name: John Doe I
This is my name: John Doe II
This is my name: John Doe III
-----------------------------------------------------------------------
cat yourname.txt
Mark A
Mark B
Mark C
-----------------------------------------------------------------------
for i in `cat myname.txt` && for y in `cat yourname.txt`
do
echo This is my name: $i and this is your name: $y >> me.and.you.txt
done

The result should sound like that:

cat me.and.you.txt

This is my name: John Doe I and this is your name: Mark A
This is my name: John Doe II and this is your name: Mark B
This is my name: John Doe III and this is your name: Mark C

I don't figure it out how to use "for i in" and "for y in" at the same time to read both file lines from myname.txt and yourname.txt in the same time to put them together in one single line.
I'm a newbie but i don't want to prompt for homework problems, i would appreciate any help, even a description would be helpful, thanks.

cat myname.txt
John Doe I
John Doe II
John Doe III
-----------------------------------------------------------------------
for i in `cat myname.txt`
do
echo This is my name: $i >> thi.is.my.name.txt
done
-----------------------------------------------------------------------
cat thi.is.my.name.txt
This is my name: John Doe I
This is my name: John Doe II
This is my name: John Doe III
-----------------------------------------------------------------------
cat yourname.txt
Mark A
Mark B
Mark C
-----------------------------------------------------------------------
for i in `cat myname.txt` && for y in `cat yourname.txt`
do
echo This is my name: $i and this is your name: $y >> me.and.you.txt
done
-----------------------------------------------------------------------

The result should be:

cat me.and.you.txt
This is my name: John Doe I and this is your name: Mark A
This is my name: John Doe II and this is your name: Mark B
This is my name: John Doe III and this is your name: Mark C

I don't figure it out how to use "for i in" and "for y in" at the same time to read both files myname.txt and yourname.txt in the same line to put them together in one single line.
I'm a newbie but i don't want to prompt for homework problems, i would appreciate any help, even a description would be helpful, thanks.