We know that the perimeter of a rectangle is:
[tex]P=2L+2W[/tex] (1)
Where:
P is the perimeter
L: it's the long
W: is the width
They tell us that the perimeter is:
(4y + 1)
The long is y
The width is y-5.
Then we can write equation (1) as follows:
[tex](4y + 1)=2y+2(y-5)[/tex]
[tex]4y+1=4y-10\\[/tex]
[tex]1 = -10\\[/tex]
The equation can not be solved and, therefore, it is not possible to find the value of "y" with the information provided.