solve the equation.

the quantity negative fourty five plus y divided by seven equals negative five

Starting with the equation:

(-45 + y) / 7 = -5

To eliminate the fraction, we can multiply both sides of the equation by 7:

7 * ((-45 + y) / 7) = -5 * 7

Simplifying:

-45 + y = -35

Now, to solve for y, we can isolate it by adding 45 to both sides:

-45 + y + 45 = -35 + 45

Simplifying:

y = 10

So the solution to the equation is y = 10.