Yes it is C if you do the math and simplify it that is what you’ll get
First distribute the negative through the parenthesis on the left and the 2 on the right.
-5 -15y +1 = 14y -32 - y
Combine like terms on the right and left
-4 -15y = 13y -32
Now move the variables to one side and the constants to the other.
Subtract 13y from both sides
-4 -28y = -32
Add 4 to both sides
-28y = -28
Divide both sides by -28
y = 1
You would need to have the information of how it translated, wether it was left or right, or up or down. you would also want the information of how far it translated.