Answer:
The nonpermissible replacement of the variable y is -3
Step-by-step explanation:
The nonpermissible replacement of the variable in a certain expression is the value of the variable that will make the denominator of the expression zero.
The expression [tex]\dfrac{y-3}{y+3}[/tex] has the denominator [tex]y+3.[/tex]
This denominator cannot be equal zero, thus,
[tex]y+3\neq 0,\\ \\y\neq -3.[/tex]
