Debbie finished her algebra test early so she decided to check each of her answers. After checking her answer to question #10, she realized she made a mistake in her solution. In which step does Debbie make her mistake?

Original Equation: 2 + 3y = 5(y - 2)

Step One: 2 + 3y = 5y - 10

Step Two: 2 = 2y - 10

Step Three: -8 = 2y

Step Four: -4 = y → y = -4

Question

Debbie finished her algebra test early so she decided to check each of her answers. After checking her answer to question #10, she realized she made a mistake in her solution. In which step does Debbie make her mistake?

Original Equation: 2 + 3y = 5(y - 2)

Step One: 2 + 3y = 5y - 10

Step Two: 2 = 2y - 10

Step Three: -8 = 2y

Step Four: -4 = y → y = -4

anonymous · Answer

step 3 she should have added 10 to both sides

anonymous · Answer

they really reach for these word problems, don't they?

anonymous · Answer

Yes! :(

anonymous · Answer

3 should be 
$$12 = 2y$$ instead of 
$$-8 = 2y$$