Respuesta :

Assuming your solving for y:
py+7=6y+q
-6y -7 -6y -7
(p-6)y = q-7
divide both sides by p-6
y=(q-7)/(p-6)

Answer:

The required equation is  [tex]y =\frac{(q-7)}{(p-6)}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]py+7=6y+q[/tex]

We need to simplify the equation and convert it into a linear equation with unknown coefficients.

Subtract 6y from both sides.

[tex]py - 6y + 7 = q[/tex]

Subtract 7 from both sides.

[tex]py - 6y = q - 7[/tex]  

Take y common from left side.

[tex]y(p-6) = q-7[/tex]

 Divide both sides by p-6.

 [tex]y =\frac{(q-7)}{(p-6)}[/tex]

Hence, the required equation is  [tex]y =\frac{(q-7)}{(p-6)}[/tex].