Question

A(y+1)=b solve for y

Answer 1

Explanation:

`a( y+ 1) = b \\ \\ \therefore \: y + 1 = (b)/(a) \\ \\ \therefore \: y = (b)/(a) - 1 \\ \\ \huge \purple{ \boxed{\therefore \: y = (b - a)/(a) }}`

Answer 2

y =
`(b)/(a)` - 1

Explanation:

Given

a(y + 1) = b ( divide both sides by a )

y + 1 =
`(b)/(a)` ( subtract 1 from both sides )

y =
`(b)/(a)` - 1

or alternatively

distribute the left side

ay + a = b ( subtract a from both sides )

ay = b - a ( divide both sides by a )

y =
`(b-a)/(a)`

Note y =
`(b)/(a)` - 1 =
`(b-a)/(a)`