Solve 6(y-1/2)=11-y

$$6 ( y - \frac { 1 } { 2 } ) = 11 - y$$

Solve for y

$$y=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by y-\frac{1}{2}.

$$6y+6\left(-\frac{1}{2}\right)=11-y$$

Express 6\left(-\frac{1}{2}\right) as a single fraction.

$$6y+\frac{6\left(-1\right)}{2}=11-y$$

Multiply 6 and -1 to get -6.

$$6y+\frac{-6}{2}=11-y$$

Divide -6 by 2 to get -3.

$$6y-3=11-y$$

Add y to both sides.

$$6y-3+y=11$$

Combine 6y and y to get 7y.

$$7y-3=11$$

Add 3 to both sides.

$$7y=11+3$$

Add 11 and 3 to get 14.

$$7y=14$$

Divide both sides by 7.

$$y=\frac{14}{7}$$

Divide 14 by 7 to get 2.

$$y=2$$