Solve 35z-35-5y-32z+4x-40+8y+56-7x+70=0

$$35z-35-5y-32z+4x-40+8y+56-7x+70=0$$

Solve for x

$$x=y+z+17$$

Steps for Solving Linear Equation

Combine 35z and -32z to get 3z.

$$3z-35-5y+4x-40+8y+56-7x+70=0$$

Subtract 40 from -35 to get -75.

$$3z-75-5y+4x+8y+56-7x+70=0$$

Combine -5y and 8y to get 3y.

$$3z-75+3y+4x+56-7x+70=0$$

Add -75 and 56 to get -19.

$$3z-19+3y+4x-7x+70=0$$

Combine 4x and -7x to get -3x.

$$3z-19+3y-3x+70=0$$

Add -19 and 70 to get 51.

$$3z+51+3y-3x=0$$

Subtract 3z from both sides. Anything subtracted from zero gives its negation.

$$51+3y-3x=-3z$$

Subtract 51 from both sides.

$$3y-3x=-3z-51$$

Subtract 3y from both sides.

$$-3x=-3z-51-3y$$

The equation is in standard form.

$$-3x=-3y-3z-51$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{-3y-3z-51}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{-3y-3z-51}{-3}$$

Divide -3z-51-3y by -3.

$$x=y+z+17$$

Solve for y

$$y=x-z-17$$

Steps for Solving Linear Equation

Combine 35z and -32z to get 3z.

$$3z-35-5y+4x-40+8y+56-7x+70=0$$

Subtract 40 from -35 to get -75.

$$3z-75-5y+4x+8y+56-7x+70=0$$

Combine -5y and 8y to get 3y.

$$3z-75+3y+4x+56-7x+70=0$$

Add -75 and 56 to get -19.

$$3z-19+3y+4x-7x+70=0$$

Combine 4x and -7x to get -3x.

$$3z-19+3y-3x+70=0$$

Add -19 and 70 to get 51.

$$3z+51+3y-3x=0$$

Subtract 3z from both sides. Anything subtracted from zero gives its negation.

$$51+3y-3x=-3z$$

Subtract 51 from both sides.

$$3y-3x=-3z-51$$

Add 3x to both sides.

$$3y=-3z-51+3x$$

The equation is in standard form.

$$3y=3x-3z-51$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{3x-3z-51}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{3x-3z-51}{3}$$

Divide -51-3z+3x by 3.

$$y=x-z-17$$