Solve 10(y+4)-4v=2(3v+3)-9

$$10 ( y + 4 ) - 4 v = 2 ( 3 v + 3 ) - 9$$

Solve for v

$$v = \frac{43}{10} = 4\frac{3}{10} = 4.3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by y+4.

$$10y+40-4v=2\left(3v+3\right)-9$$

Use the distributive property to multiply 2 by 3v+3.

$$10y+40-4v=6v+6-9$$

Subtract 9 from 6 to get -3.

$$10y+40-4v=6v-3$$

Subtract 6v from both sides.

$$10y+40-4v-6v=-3$$

Combine -4v and -6v to get -10v.

$$10y+40-10v=-3$$

Subtract 10y from both sides.

$$40-10v=-3-10y$$

Subtract 40 from both sides.

$$-10v=-3-10y-40$$

Subtract 40 from -3 to get -43.

$$-10v=-43-10y$$

The equation is in standard form.

$$-10v=-10y-43$$

Divide both sides by -10.

$$\frac{-10v}{-10}=\frac{-10y-43}{-10}$$

Dividing by -10 undoes the multiplication by -10.

$$v=\frac{-10y-43}{-10}$$

Divide -43-10y by -10.

$$v=y+\frac{43}{10}$$

Solve for y

$$y = -\frac{43}{10} = -4\frac{3}{10} = -4.3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by y+4.

$$10y+40-4v=2\left(3v+3\right)-9$$

Use the distributive property to multiply 2 by 3v+3.

$$10y+40-4v=6v+6-9$$

Subtract 9 from 6 to get -3.

$$10y+40-4v=6v-3$$

Subtract 40 from both sides.

$$10y-4v=6v-3-40$$

Subtract 40 from -3 to get -43.

$$10y-4v=6v-43$$

Add 4v to both sides.

$$10y=6v-43+4v$$

Combine 6v and 4v to get 10v.

$$10y=10v-43$$

Divide both sides by 10.

$$\frac{10y}{10}=\frac{10v-43}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$y=\frac{10v-43}{10}$$

Divide 10v-43 by 10.

$$y=v-\frac{43}{10}$$