Question

How to solve -2/5 + y = -1/3?

Answer 1

y=`1/15`

Explanation:

We can start by getting y by its self, and we do this by completing the opposite operation of the number we want to move to both sides.
We want to move `-2/5` to the right, so we add `2/5` to both sides:

`-2/5+(2/5)+y=-1/3+(2/5)`

That will cancel with the `-2/5` on the left giving us:

`y=-1/3+2/5`

Before we can combine, we have to find Lowest Common Denominators (LCD) for the fractions. It looks like 15 is the LCD for the fractions, so we multiply appropriately:

`y=(5/5)*-1/3+(3/3)*2/5`

=

`y=-5/15+6/15`

After combining, we get the final answer of:

`y=1/15`

Answer 2

`y=1/15`

Explanation:

`-2/5+y=-1/3`
Adding `2/5` on both sides

`2/5-2/5+y=-1/3+2/5`
Cancelling `-2/5 and +2/5`
`y=-1/3+2/5`

`-1/3+2/5=(-1xx5+2xx3)/(3xx5)`

`=(-5+6)/15`
`-1/3+2/5=1/15`
Hence,
`y=1/15`

Check:
`lhs`
`=2/5+y`
`=-2/5+1/15`
`=-1/3`
`=rhs`

Thus, verified