Question

how many solutions does this equation have?
$1 + 10y = -5(-2y - 2) - 9$
no solution
one solution
infinitely many solutions

Explanation:

Step1: Expand the right-hand side

$1 + 10y = 10y + 10 - 9$

Step2: Simplify the right-hand side

$1 + 10y = 10y + 1$

Step3: Subtract $10y$ from both sides

$1 = 1$

Answer:

infinitely many solutions