(28y2+12y)÷(-4y)

Rewrite the division as a fraction.

28y2+12y-4y

Factor 4y out of 28y2.

4y(7y)+12y-4y

Factor 4y out of 12y.

4y(7y)+4y(3)-4y

Factor 4y out of 4y(7y)+4y(3).

4y(7y+3)-4y

4y(7y+3)-4y

Factor 4 out of 4y(7y+3).

4(y(7y+3))-4y

Cancel the common factors.

Factor 4 out of -4y.

4(y(7y+3))4(-y)

Cancel the common factor.

4(y(7y+3))4(-y)

Rewrite the expression.

y(7y+3)-y

y(7y+3)-y

y(7y+3)-y

Cancel the common factor.

y(7y+3)-y

Rewrite the expression.

7y+3-1

Move the negative one from the denominator of 7y+3-1.

-1⋅(7y+3)

-1⋅(7y+3)

Rewrite -1⋅(7y+3) as -(7y+3).

-(7y+3)

Apply the distributive property.

-(7y)-1⋅3

Multiply 7 by -1.

-7y-1⋅3

Multiply -1 by 3.

-7y-3

Divide (28y^2+12y)÷(-4y)