Question

If 3x+2=5y+4, then y=

Answer 1

`y=(3x-2)/(5)`

Step-by-step explanation

Given

`3x+2=5y+4`

Then we have to isolate y to know the expression at which x is equal to. We can rewrite the given equation as follows:

`5y+4=3x+2`

Then, to isolate x we have to subtract 4 from both sides of the equation and simplify:

`5y+4-4=3x+2-4`
`5y=3x-2`

Finally, we have to divide both sides of the equation against 5 and simplify:

`(5y)/(5)=(3x-2)/(5)`
`y=(3x-2)/(5)`