Answer
The equation has no solution.
Work Step by Step
$$5(y - 5) = 5y + 10$$
Expand $5(y - 5)$: $5y-25$
Rewrite the equation:
$$5y-25= 5y + 10$$
Add $25$ to both sides:
$$5y-25= 5y + 10$$ $$5y-25+25= 5y + 10+25$$ $$5y= 5y + 35$$
Subtract $5y$ from both sides:
$$5y-5y= 5y-5y + 35$$ $$0=35$$
Since the sides are not equal, therefore the equation has no solution.