Question

Solve for y. Py + qy = -4y + 8

Answer 1

y = 8 / (P + q + 4)

Explanation:

Group ALL y terms on the left side: Py + qy + 4y = 8.

Factor y out of the left side: y(P + q + 4) = 8

Divide both sides by (P + q + 4): y = 8 / (P + q + 4)

Answer 2

`\bf Py+qy=-4y+8\implies Py+qy+4y=8\implies \stackrel{\textit{common factor}}{y(P+q+4)}=8 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=\cfrac{8}{P+q+4}~\hfill`