t=|14y|

Rewrite the equation as |14y|=t.

|14y|=t

Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

14y=±t

Set up the positive portion of the ± solution.

14y=t

Divide each term in 14y=t by 14.

14y14=t14

Cancel the common factor of 14.

Cancel the common factor.

14y14=t14

Divide y by 1.

y=t14

y=t14

y=t14

Set up the negative portion of the ± solution.

14y=-t

Divide each term in 14y=-(t) by 14.

14y14=-t14

Cancel the common factor of 14.

Cancel the common factor.

14y14=-t14

Divide y by 1.

y=-t14

y=-t14

y=-t14

The solution to the equation includes both the positive and negative portions of the solution.

y=t14

y=-t14

Solve for y t=|14y|