Question

How do you solve `\frac{1}{12} + \frac{3}{8}y = \frac{5}{12} + \frac{5}{8} y`?

Answer 1

make denominators equal

Explanation:

`1/12+(3y)/8 = 5/12+(5y)/8`

`(2*1)/(2*12)+(3*3y)/(3*8) = (2*5)/(2*12)+(3*5y)/(3*8)`

`2/24+(9*y)/24 = 10/24 + (15*y)/24`

now we can eliminate denominators since they are all the same...

`2+9y = 10 + 15y`

`2=10+15y-9y`
`2=10+6y`
`2-10=6y => 6y=-8`
`y=-8/6 = -4/3`