Solve the equation and verify your answer: `(y-(7-8y))/(9y-(3+4y))=2/3`

Explanation

`(y – (7 – 8y))/(9y – (3 + 4y)) = 2/3`
` (y – 7 + 8y) / (9y – 3 – 4y) = 2/3`
` (-7 + 9y) / (5y – 3) = 2/3`
Let us perform cross-multiplication
`3(-7 + 9y) = 2(5y – 3)`
` -21 + 27y = 10y – 6`
` 27y – 10y = 21 – 6`
` 17y = 15`
`y=15/17`
According to the question
`(y – (7 – 8y))/(9y – (3 + 4y)) = 2/3`
substituting the value 0f Y
`(15/17 – (7-8(15/17)))/ (9(15/17) – (3 + 4(15/17))) = 2/3`
` (15/17 – (7 – 120/17)) / (135/17 – (3 + 60/17)) = 2/3`
` (15/17 – ((119-120)/17)) / (135/17 – ((51+60)/17)) = 2/3 `
`(15/17 – (-1/17)) / (135/17 – (111/17)) = 2/3`
` ((15 + 1)/17) / ((135-111)/17) = 2/3`
`((16/17) / (24/17)) = 2/3`
`16/24 = 2/3`
` 2/3 = 2/3`