Question

How do you solve `5/16y + 3/2y = 2 + 1/4y`?

Answer 1

`32/25`

Explanation:

`5/16y+3/2y=2+1/4y`

Make your denominator the same
`5/16y+24/16y=2+4/16y`

Move your “y” to one side
`29/16y-4/16y=2`

Simplify
`25/16y=2`

Multiply both sides by `16/25`
`y=2times16/25`

Simplify
`y=32/25`

Answer 2

`y = 32/25 = 1.28`

Explanation:

`5/16y + 3/2y = 2 + 1/4y`

Multiply all the terms by the least common multiple of the three denominators, which is `16`.

`(16)5/16 + (16)3/2y = (16)2 + (16)1/4y`

Now cancel out all of the terms to simplify:

#stackrelcolor(red)1cancel16 5/cancel(16)y + stackrelcolor(red)8 cancel(16)3/cancel2y = 32 + stackrelcolor(red)4cancel16 1/cancel4y#

`color(red)1(5)y + color(red)8(3)y = 32 + color(red)4(1)y`

`5y + 24y = 32 + 4y`

`29y = 32 + 4y`

`25y = 32`

`y = 32/25 = 1.28`