Question

Solve the equation for the variable y.
ay +4=3ay-b

Answer 1

a =
`(b-4)/(-2y)`

Explanation:

ay + 4 = 3ay - b Subtract 4 from both sides

ay = 3ay -b - 4 Subtract 3ay from both sides

ay - 3ay = b - 4 Factor out the a

a (y -3y) = b =4 Combine like terms

a(-2y) = b - 4 Divide both sides by -2y

a =
`(b-4)/(-2y)`