Assuming you mean the seperate equations:
6y + 4 = 2(3y - 5)
Simplify
6y + 4 = 6y - 10
Subtract 6y from both sides
4 = -10
No solution
20f + (-8f - 15) = 2(4f - 5)
Simplify
20f -8f - 15 = 8f - 10
Simplify again
12f - 15 = 8f - 10
Subtract 8f from both sides
4f - 15 = -10
Add 15 to both sides
4f = 5
Divide by 4 on both sides
f = 4/5
3(1 + 2f) - 5 = 6f - 2
Simplify
3 + 6f - 5 = 6f - 2
Subtract 6f from both sides
3 - 5 = -2
Simplify
-2 = -2
Add 2 to both sides
0 = 0
Infinite Many Solutions
7x + 5 = 10(x - 7) - 3x
Simplify
7x + 5 = 10x - 70 - 3x
Simplify
7x + 5 = 7x - 70
Subtract 7x from both sides
5 = -70
No Solution
I'm not entirely sure this is correct, but I hope this helps :)