Solve y=-1/2(b)+b

$$y = \frac { - 1 } { 2 } ( b ) + b$$

Solve for b

$$b=2y$$

Steps for Solving Linear Equation

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$y=-\frac{1}{2}b+b$$

Combine -\frac{1}{2}b and b to get \frac{1}{2}b.

$$y=\frac{1}{2}b$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{2}b=y$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}b}{\frac{1}{2}}=\frac{y}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$b=\frac{y}{\frac{1}{2}}$$

Divide y by \frac{1}{2} by multiplying y by the reciprocal of \frac{1}{2}.

$$b=2y$$

Solve for y

$$y=\frac{b}{2}$$

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$y=-\frac{1}{2}b+b$$

Combine -\frac{1}{2}b and b to get \frac{1}{2}b.

$$y=\frac{1}{2}b$$