Py+7=6y+q solve for y

We know that we are solving for y.

This is a step by step procedure to get the value of y.

First: Move all terms to the left side and set equal to zero.

Second: Then set each factor equal to zero.

The application is:

Given: py+7=6y+q

-6y - 7 - 6y - 7 = 0

(p-6) y = q-7

divide both sides by p-6

y = (q-7) / (p-6)

Answer is y = (q - 7) / (p - 6)