To simplify the expression 3y – 4(y + 2) + 7y, we’ll follow the order of operations (PEMDAS/BODMAS) and combine like terms:

First, let’s distribute the -4 to the terms inside the parentheses:
3y – 4y – 4(2) + 7y

Simplifying further:
3y – 4y – 8 + 7y

Now, let’s combine like terms:
(3y + 7y) – 4y – 8

Adding the y-terms:
10y – 4y – 8

Combining like terms again:
(10y – 4y) – 8

Simplifying:
6y – 8

So, the simplified expression is 6y – 8.