Question

How do you solve `46- [7- 8y + 9( 6v - 2)]= - 7(4y - 7) - 2[ 6(2y - 3) - 4+ 6y`?

Answer 1

`y = 38/9`

Explanation:

I assume it’s 6y and not 6v. Also square bracket before ? mark in the R H S.

`46 - [7 - 8y + 9(6y - 2)] = -7(4y - 7) - 2[6(2y - 3) - 4 + 6y]`

Removing parentheses,

`6 - [7 - 8y + 54y - 18] = -28y + 49 - 2[12y - 18 - 4 +6y]`

Removing square brackets,

`6 - 7 + 8y - 54y + 18 = -28y + 49 - 24y + 36 + 8 - 12y`

Bringing constants to R H S & variables to L H S,

`8y - 54y + 28y + 24y + 12y = - 6 + 7 - 18 + 49 + 36 + 8`

Simplifying L H S, R H S

`(8 - 54 + 28 + 24 + 12) y = (-6 + 7 - 18 + 49 + 36 + 8)`

`18y = 76`

`y = 76 / 18 = 38/9`