To solve the equation for y, we need to isolate the variable on one side of the equation. Here are the steps to solve the equation:
Step 1: Start with the equation: −1/5y + 3 = −7.
Step 2: Subtract 3 from both sides of the equation to move the constant term to the right side: −1/5y = −7 - 3.
Simplified equation becomes: −1/5y = -10.
Step 3: To isolate y, we need to get rid of the coefficient in front of it. Multiply both sides of the equation by -5. Keep in mind that when you multiply an equation by a negative number, you must reverse the inequality sign:
Multiply both sides by -5: (-5)(-1/5y) = -5*(-10).
This simplifies to: y = 50.
So, the solution to the equation is y = 50.
Therefore, the correct response is 50.