What is the y-value of the solution to the system of equations?

3x + 5y = 1

7x + 4y = - 13

Let's solve for x first,

3x + 5y - 5y = 1 - 5y

3x/3 = 1/3 - 5y/3

x = 1/3 - 5/3y

Let's now plug that into the other equation,

7 (1/3 - 5/3y) + 4y = - 13

7/3 - 35/3y + 4y = - 13

7/3 - 7 2/3y - 7/3 = - 13 - 7/3

- 7 2/3y (-3/23) = - 15 1/3 (-3/23)

y = 2

The answer is 2