Solve (x-0.8)(y+48)=336

$$(x-0.8)(y+48)=336$$

Solve for x

$$x=\frac{4y+1872}{5\left(y+48\right)}$$

$$y\neq -48$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-0.8 by y+48.

$$xy+48x-0.8y-38.4=336$$

Add 0.8y to both sides.

$$xy+48x-38.4=336+0.8y$$

Add 38.4 to both sides.

$$xy+48x=336+0.8y+38.4$$

Add 336 and 38.4 to get 374.4.

$$xy+48x=374.4+0.8y$$

Combine all terms containing x.

$$\left(y+48\right)x=374.4+0.8y$$

The equation is in standard form.

$$\left(y+48\right)x=\frac{4y+1872}{5}$$

Divide both sides by y+48.

$$\frac{\left(y+48\right)x}{y+48}=\frac{4y+1872}{5\left(y+48\right)}$$

Dividing by y+48 undoes the multiplication by y+48.

$$x=\frac{4y+1872}{5\left(y+48\right)}$$

Divide \frac{1872+4y}{5} by y+48.

$$x=\frac{4\left(y+468\right)}{5\left(y+48\right)}$$

Solve for y

$$y=-\frac{48\left(5x-39\right)}{5x-4}$$

$$x\neq 0.8$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-0.8 by y+48.

$$xy+48x-0.8y-38.4=336$$

Subtract 48x from both sides.

$$xy-0.8y-38.4=336-48x$$

Add 38.4 to both sides.

$$xy-0.8y=336-48x+38.4$$

Add 336 and 38.4 to get 374.4.

$$xy-0.8y=374.4-48x$$

Combine all terms containing y.

$$\left(x-0.8\right)y=374.4-48x$$

Divide both sides by x-0.8.

$$\frac{\left(x-0.8\right)y}{x-0.8}=\frac{374.4-48x}{x-0.8}$$

Dividing by x-0.8 undoes the multiplication by x-0.8.

$$y=\frac{374.4-48x}{x-0.8}$$