Solve 3.16y-8(3x-4)=-48

$$3.16 y - 8 ( 3 x - 4 ) = - 48$$

Solve for x

$$x=\frac{79y}{600}+\frac{10}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by 3x-4.

$$3.16y-24x+32=-48$$

Subtract 3.16y from both sides.

$$-24x+32=-48-3.16y$$

Subtract 32 from both sides.

$$-24x=-48-3.16y-32$$

Subtract 32 from -48 to get -80.

$$-24x=-80-3.16y$$

The equation is in standard form.

$$-24x=-\frac{79y}{25}-80$$

Divide both sides by -24.

$$\frac{-24x}{-24}=\frac{-\frac{79y}{25}-80}{-24}$$

Dividing by -24 undoes the multiplication by -24.

$$x=\frac{-\frac{79y}{25}-80}{-24}$$

Divide -80-\frac{79y}{25} by -24.

$$x=\frac{79y}{600}+\frac{10}{3}$$

Solve for y

$$y=\frac{600x-2000}{79}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by 3x-4.

$$3.16y-24x+32=-48$$

Add 24x to both sides.

$$3.16y+32=-48+24x$$

Subtract 32 from both sides.

$$3.16y=-48+24x-32$$

Subtract 32 from -48 to get -80.

$$3.16y=-80+24x$$

The equation is in standard form.

$$3.16y=24x-80$$

Divide both sides of the equation by 3.16, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{3.16y}{3.16}=\frac{24x-80}{3.16}$$

Dividing by 3.16 undoes the multiplication by 3.16.

$$y=\frac{24x-80}{3.16}$$

Divide -80+24x by 3.16 by multiplying -80+24x by the reciprocal of 3.16.

$$y=\frac{600x-2000}{79}$$