Solve -64x=4(-2y+8)

$$- 64 x = 4 ( - 2 y + 8 )$$

Solve for x

$$x=\frac{y-4}{8}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by -2y+8.

$$-64x=-8y+32$$

The equation is in standard form.

$$-64x=32-8y$$

Divide both sides by -64.

$$\frac{-64x}{-64}=\frac{32-8y}{-64}$$

Dividing by -64 undoes the multiplication by -64.

$$x=\frac{32-8y}{-64}$$

Divide -8y+32 by -64.

$$x=\frac{y}{8}-\frac{1}{2}$$

Solve for y

$$y=8x+4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by -2y+8.

$$-64x=-8y+32$$

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

$$-8y+32=-64x$$

Subtract 32 from both sides.

$$-8y=-64x-32$$

Divide both sides by -8.

$$\frac{-8y}{-8}=\frac{-64x-32}{-8}$$

Dividing by -8 undoes the multiplication by -8.

$$y=\frac{-64x-32}{-8}$$

Divide -64x-32 by -8.

$$y=8x+4$$