Solve y=7+b/2

$$y = \frac { 7 + b } { 2 }$$

Solve for b

$$b=2y-7$$

Steps for Solving Linear Equation

Divide each term of 7+b by 2 to get \frac{7}{2}+\frac{1}{2}b.

$$y=\frac{7}{2}+\frac{1}{2}b$$

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

$$\frac{7}{2}+\frac{1}{2}b=y$$

Subtract \frac{7}{2} from both sides.

$$\frac{1}{2}b=y-\frac{7}{2}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}b}{\frac{1}{2}}=\frac{y-\frac{7}{2}}{\frac{1}{2}}$$

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

$$b=\frac{y-\frac{7}{2}}{\frac{1}{2}}$$

Divide y-\frac{7}{2} by \frac{1}{2} by multiplying y-\frac{7}{2} by the reciprocal of \frac{1}{2}.

$$b=2y-7$$

Solve for y

$$y=\frac{b+7}{2}$$

Solution Steps

Divide each term of 7+b by 2 to get \frac{7}{2}+\frac{1}{2}b.

$$y=\frac{7}{2}+\frac{1}{2}b$$