Simplify the expression.
(-2y+3)(y+4)
-2y^2 - 5y + 12
To simplify the expression (-2y + 3)(y + 4), you can use the distributive property. First, multiply -2y by y and -2y by 4:
-2y * y = -2y^2
-2y * 4 = -8y
Next, multiply 3 by y and 3 by 4:
3 * y = 3y
3 * 4 = 12
Now, combine like terms:
-2y^2 + (-8y) + 3y + 12
Simplify the terms with y:
-2y^2 - 5y + 12
Therefore, the simplified expression is -2y^2 - 5y + 12.