Question

-4y + 7 = 35y - 6
Need Help

Answer 1

`y=(1)/(3)`

Explanation:

Subtract
`7` from both sides of the equation:

`-4y+7=35y-6`

`-4y+7`
`-7=35y-6`
`-7`

Simplify:

• Subtract the numbers:

`-4y+7`
`-7=35y-6-7`

`-4y=35y-6-7`

• Subtract the numbers:

`-4y=35y`
`-6`
`-7`

`-4=35y`
`-13`

`-4y=35y-13`

Subtract
`35y` from both sides of the equation:

`-4y=35y-13`

`-4y`
`-35y=35y-13`
`-35y`

Simplify:

• Combine like terms:

`-4`
`-35y=35y-13-35y`

`-39y=35y-13-35y`

• Combine like terms:

`-39y=35y-13`
`-35y`

`-39y=-13`

`-39y=-13`

Divide both sides of the equation by the same term:

`-39y=-13`

`(-39y)/(-39) =(-13)/(-39)`

Simplify:

• Cancel terms that are in both the numerator and denominator:

`(-39y)/(-39) =(-13)/(-39)`

`y=(-13)/(-39)`

• Divide the numbers:

`y=(-13)/(-39)`

`y=(1)/(3)`