Answer:
-7 → 
3/2 → 
1 → 
-1/4 → 
Step-by-step explanation:
We need to find the nonpermissible replacements for y.
Equate the denominator of each expression equal to 0, to find the nonpermissible replacements for y.
First expression is

Equate (2y-3) equal to 0.

Add 2 on both sides.

Divide both sides by 3.

Therefore, 3/2 is the nonpermissible replacements for y.
Second expression is

Equate (4y+1) equal to 0.



Therefore, -1/4 is the nonpermissible replacements for y.
Third expression is

Equate -5(y-1) equal to 0.



Therefore, 1 is the nonpermissible replacements for y.
Fourth expression is

Equate -2(y+7) equal to 0.



Therefore, -7 is the nonpermissible replacements for y.