Divide the problem into two simply supported beam cases.

Beam on three supports

 
 

Beam on three supports

The actual beam deflection at B (VB) is known — since B is a roller support, VB = 0. Add the Case 1 and Case 2 expressions for the beam deflection at B and set the sum equal to zero. Solve for the unknown reaction force By.

Since EI appears in the denominator of each term, it can be cancelled out. In executing this calculation, you must always take care to ensure that the units are consistent.