Hey there! 
(2y² + 8y - 7) - (- 3y + 3) 
Simplify the subtraction symbol. This'll change the signs of -3y and +3. 
(2y² + 8y - 7) + 3y - 3 
Remove the parenthesis. 
2y² + 8y - 7 + 3y - 3 
Combine like terms: 8y and 3y 
2y² + 11y - 7 - 3 
Combine like terms: -7 and -3 
2y² + 11y - 10 
This is the fully simplified expression. 
Hope this helps!