Question

Please help me out with this so I can keep my kitten.

Answer 1

`y = (32)/(3)`

Explanation:

Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

`(y)/(8) = (7)/(12) + (3)/(4)`

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

`(3*3)/(4*3) = (9)/(12)`

Now add this to the other fraction:

`(9)/(12) + (7)/(12) = (16)/(12)`

This can be simplified down by dividing both the numerator and denominator by 4:

`(4)/(3)`

Which now simplifies the original equation to:

`(y)/(8) = (4)/(3)`

Remove the y out of the fraction:

`(1)/(8)y = (4)/(3)`

Now multiply both sides by 8:

`((1)/(8)y) * 8 = ((4)/(3)) * 8`

`y = (4*8)/(3)`

`y = (32)/(3)`

Hope this helps!