(y-6)-(y+6)=8y

Simplify each term.

Apply the distributive property.

y-6-y-1⋅6=8y

Multiply -1 by 6.

y-6-y-6=8y

y-6-y-6=8y

Simplify by adding terms.

Combine the opposite terms in y-6-y-6.

Subtract y from y.

0-6-6=8y

Subtract 6 from 0.

-6-6=8y

-6-6=8y

Subtract 6 from -6.

-12=8y

-12=8y

-12=8y

Since y is on the right side of the equation, switch the sides so it is on the left side of the equation.

8y=-12

Divide each term in 8y=-12 by 8.

8y8=-128

Cancel the common factor of 8.

Cancel the common factor.

8y8=-128

Divide y by 1.

y=-128

y=-128

Simplify -128.

Cancel the common factor of -12 and 8.

Factor 4 out of -12.

y=4(-3)8

Cancel the common factors.

Factor 4 out of 8.

y=4⋅-34⋅2

Cancel the common factor.

y=4⋅-34⋅2

Rewrite the expression.

y=-32

y=-32

y=-32

Move the negative in front of the fraction.

y=-32

y=-32

y=-32

The result can be shown in multiple forms.

Exact Form:

y=-32

Decimal Form:

y=-1.5

Mixed Number Form:

y=-112

Solve for y (y-6)-(y+6)=8y