| 10 | y | + | 2 | ( | 7 | y | − | 2 | ) | = | 5 | ( | 4 | y | + | 3 | ) | + | 3 | y |
| Left side of the equation = | 10 | y | + | 2 | × | 7 | y | − | 2 | × | 2 |
| = | 10 | y | + | 14 | y | − | 4 |
| = | 24 | y | − | 4 |
| 24 | y | − | 4 | = | 5 | ( | 4 | y | + | 3 | ) | + | 3 | y |
| Right side of the equation = | 5 | × | 4 | y | + | 5 | × | 3 | + | 3 | y |
| = | 20 | y | + | 15 | + | 3 | y |
| = | 23 | y | + | 15 |
| 24 | y | − | 4 | = | 23 | y | + | 15 |
| 24 | y | − | 23 | y | = | 15 | + | 4 |
| y | = | 15 | + | 4 |
| y | = | 15 | + | 4 |
| y | = | 19 |