In finding the solution of the equation 2/5 (y+10) = 0, we just have to solve like this
Solution;
2/5 (y+10) = 0
Multiply both sides of the equation with 5/2
(5/2) (2/5 (y+10)) = 0 (5/2)
y + 10 = 0
Add both sides of the equation with -10
y + 10 - 10 = 0 - 10
y = -10
Now, the solution of the equation is y = -10
We will now check the answer
Substitute our answer y = -10 to the original equation
2/5 (y+10) = 0
2/5 (-10 + 10) = 0
2/5 (0) = 0
0 = 0
As you can see, both sides of the equation has the same answer Therefore our answer is correct.