Solve |2y - 2| = 15
You can write this as two equations by saying the positive and negative of the inside of the absolute value is equal to 15. This will give 2y - 2 = 15 and -(2y-2) = 15. For the first equation we add two to both sides to get 2y - 2 +2 = 15 + 2. This givese you 2y = 17. We then divide both sides by two to get 2y/2 = 17/2 which gives y = 8.5. Now let's work with -(2y-2) = 15. We use the distributive property to get rid of the parenthesis and distribute the negative throughout. We get -2y + 2 = 15. Subtract 2 from both sides:
-2y +2 - 2 = 15 - 2 = 13. Now we have -2y = 13. Now divide both sides by -2 and we get -2y/-2y = 13/-2 which gives y = -6.5.
The last step is to check your answers by plugging in your values you find for y into the original equation. This gives |2*8.5 - 2| = 15 is true and |2*-6.5 - 2| = 15 is also true. Your answers are correct!