Solve -6(y-1)-3(x-4)=15

$$- 6 ( y - 1 ) - 3 ( x - 4 ) = 15$$

Solve for x

$$x=1-2y$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by y-1.

$$-6y+6-3\left(x-4\right)=15$$

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

$$-6y+6-3x+12=15$$

Add 6 and 12 to get 18.

$$-6y+18-3x=15$$

Add 6y to both sides.

$$18-3x=15+6y$$

Subtract 18 from both sides.

$$-3x=15+6y-18$$

Subtract 18 from 15 to get -3.

$$-3x=-3+6y$$

The equation is in standard form.

$$-3x=6y-3$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{6y-3}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{6y-3}{-3}$$

Divide -3+6y by -3.

$$x=1-2y$$

Solve for y

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

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by y-1.

$$-6y+6-3\left(x-4\right)=15$$

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

$$-6y+6-3x+12=15$$

Add 6 and 12 to get 18.

$$-6y+18-3x=15$$

Subtract 18 from both sides.

$$-6y-3x=15-18$$

Subtract 18 from 15 to get -3.

$$-6y-3x=-3$$

Add 3x to both sides.

$$-6y=-3+3x$$

The equation is in standard form.

$$-6y=3x-3$$

Divide both sides by -6.

$$\frac{-6y}{-6}=\frac{3x-3}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$y=\frac{3x-3}{-6}$$

Divide -3+3x by -6.

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