Solve 28=(3+x)y

$$28 = ( 3 + x ) y$$

Solve for x

$$x=-3+\frac{28}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3+x by y.

$$28=3y+xy$$

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

$$3y+xy=28$$

Subtract 3y from both sides.

$$xy=28-3y$$

The equation is in standard form.

$$yx=28-3y$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{28-3y}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{28-3y}{y}$$

Divide 28-3y by y.

$$x=-3+\frac{28}{y}$$

Solve for y

$$y=\frac{28}{x+3}$$

$$x\neq -3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3+x by y.

$$28=3y+xy$$

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

$$3y+xy=28$$

Combine all terms containing y.

$$\left(3+x\right)y=28$$

The equation is in standard form.

$$\left(x+3\right)y=28$$

Divide both sides by 3+x.

$$\frac{\left(x+3\right)y}{x+3}=\frac{28}{x+3}$$

Dividing by 3+x undoes the multiplication by 3+x.

$$y=\frac{28}{x+3}$$