+2446 \(y=-12\)
| \(5(y+2)=2(2y-1)\) | This is the given equation. First, distribute the 5 and 2 |
| \(5y+10=4y-2\) | Subtract 4y on both sides |
| \(y+10=-2\) | Subtract 10 on both sides |
| \(y=-12\) | We found y, so we are done! |
If you are ever unsure whether or not your answer is correct, plug the y-value into the equation. Then, check to see that the equation is true:
| \(5(-12+2)=2(2(-12)-1)\) | Check to see if this is true by simplifying. Let's clean this up |
| \(5*-10=2(-24-1)\) | |
| \(5*-10=2*-25\) | |
| \(-50=-50\) | This is true, so the answer, y=-12 is the correct and only correct solution |
