Solve over the integers

Question

Is there a way to solve an equation like this over the integers.

 (ay+b)/(cy+1)=d

Answer 1

Solve for y, you must isolate y, all other values are integers a,b,c,d

multiply both sides by denominator

ay+b / cy + 1 = d

ay+b = d(cy+1)

Distribute d into parentheses

ay + b = dcy +d

Combine like terms

ay - dcy = d - b

Factor out y

y(a-dc) = d - b

y = (d-b)/(a-dc)