Can someone explain how to do this?

y + 1/3 = -5/6

Isolate y by adding -1/3 to both sides:

(y + 1/3) + (-1/3) = -5/6 + (-1/3)

Addition is associative, meaning we can regroup the sums on the left side:

y + (1/3 + (-1/3)) = -5/6 + (-1/3)

1/3 and -1/3 cancel, so we're left with

y = -5/6 + (-1/3)

Adding a negative number is the same as subtracting:

y = -5/6 - 1/3

To combine the fractions and simplify the right side, you first have to find a common denominator. 6 is a multiple of 3, since 6 = 2•3. So multiply the numerator and denominator of 1/3 by 2:

1/3 • 2/2 = 2/6

So we get

y = -5/6 - 2/6

and because the denominators are identical, we can combine the fractions to get

y = (-5 - 2)/6

Simplify the numerator to get y :

y = -7/6

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it