Expanding the left side of the inequality, we get:
(y+4)(4-y) + (y+5)y
= 4y - y^2 + 16 - 4y + y^2 + 5y
= 5y + 16 + 5y
= 10y + 16
Now, the inequality becomes:
10y + 16 > 6y - 20
Subtracting 6y from both sides, we get:
4y + 16 > -20
Subtracting 16 from both sides, we get:
4y > -36
Dividing by 4 on both sides, we get:
y > -9
Therefore, the solution for the inequality is y > -9.
Expanding the left side of the inequality, we get:
(y+4)(4-y) + (y+5)y
= 4y - y^2 + 16 - 4y + y^2 + 5y
= 5y + 16 + 5y
= 10y + 16
Now, the inequality becomes:
10y + 16 > 6y - 20
Subtracting 6y from both sides, we get:
4y + 16 > -20
Subtracting 16 from both sides, we get:
4y > -36
Dividing by 4 on both sides, we get:
y > -9
Therefore, the solution for the inequality is y > -9.