Question

Solve the equation 3y/2 - 4 > 4/5 + 7y/10.

Answer 1

y > 6

Explanation:

3 x
`(y)/(2)` - 4 >
`(4)/(5)` + 7 x
`(y)/(10)`

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Subtract 7
`(y)/(10)` from both sides

3 x
`(y)/(2)` - 4 - 7 x
`(y)/(10)` - 7 x
`(y)/(10)` (simplify) ->
`(4y)/(5)` - 4 >
`(4)/(5)`

Add 4 to both sides

`(4y)/(5)` - 4 + 4 >
`(4)/(5)` + 4 (simplify) ->
`(4y)/(5)` >
`(24)/(5)`

Mulitply both sides by 5

`(5x4y)/(5)` >
`(24 x 5)/(5)` (simplify) -> 4y >24

Divide both sides by 4

`(4y)/(4)` >
`(24)/(4)` (simplify) -> y > 6

Answer 2

y>6

Explanation:

^^