Scramble: F R2 U2 F2 R2 U' R2 F2 R'
z y // inspection
U' (R' // face
R2) U2' R2' F' // PBL
Full solution: U' R U2' R2' F'
Next: U' R2 F' U R2 U R F2 U2
Yeah, I would normally do U' R U R U R' to force bar on back here. I did an extra R U R' before that in this case because it cancels into an EG-1 alg.
Scramble: F R2 U' R F R2 F2 R2 F'
z // Inspection
L U' L' U // Face
R U R2' F' R2 U R' // EG-1
Next: R F2 U2 F' R F2 R' U F2
Scramble: F2 U' F' U R2 U' R F2 U'
y' x' // inspection
U' R2 U R' U (R U R') // Face
(R U' R2') F R2 U' R' // EG-1
Full solution: U' R2 U R' U R' F R2 U' R'
Next: U R' F' R2 F U' R' U2 R2
Scramble: R' F2 U2 F R' U F' U' F R2
y2 // Inspection
(R') // V
(R) U R' U2' R U R' F R' F' R U2 // LS
Full solution: U R' U2' R U R' F R' F' R U2
Next: F2 U' F' U F' R F' U F R2
I don't think this is true. If the first solution I check gives a bad EG case, I would definitely look at other solutions. This might involve a different way of making a layer/face that gives a better case or has a nice cancellation, or I try looking at a completely different color...
Scramble: F' R2 F U' R U' F U' F
y' x // Inspection
(R) // Face
(R') F' R F U R' F' R U R' F' R U // EG-1
Full solution: F' R F U R' F' R U R' F' R U
Next: F2 R F' U2 R F' U2 R' U'