Question

how many solutions does this equation have?
$5y = 8 + 7y$
no solution
one solution
infinitely many solutions

Explanation:

Step1: Isolate y terms

Subtract $7y$ from both sides:
$5y - 7y = 8 + 7y - 7y$
$-2y = 8$

Step2: Solve for y

Divide both sides by $-2$:
$\frac{-2y}{-2} = \frac{8}{-2}$
$y = -4$

Answer:

one solution