Solve 2(y-4)+5x+5/3=-3

$$2 ( y - 4 ) + \frac { 5 x + 5 } { 3 } = - 3$$

Solve for x

$$x=-\frac{6y}{5}+2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$6\left(y-4\right)+5x+5=-9$$

Use the distributive property to multiply 6 by y-4.

$$6y-24+5x+5=-9$$

Add -24 and 5 to get -19.

$$6y-19+5x=-9$$

Subtract 6y from both sides.

$$-19+5x=-9-6y$$

Add 19 to both sides.

$$5x=-9-6y+19$$

Add -9 and 19 to get 10.

$$5x=10-6y$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{10-6y}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{10-6y}{5}$$

Divide 10-6y by 5.

$$x=-\frac{6y}{5}+2$$

Solve for y

$$y=-\frac{5x}{6}+\frac{5}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$6\left(y-4\right)+5x+5=-9$$

Use the distributive property to multiply 6 by y-4.

$$6y-24+5x+5=-9$$

Add -24 and 5 to get -19.

$$6y-19+5x=-9$$

Add 19 to both sides.

$$6y+5x=-9+19$$

Add -9 and 19 to get 10.

$$6y+5x=10$$

Subtract 5x from both sides.

$$6y=10-5x$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{10-5x}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{10-5x}{6}$$

Divide 10-5x by 6.

$$y=-\frac{5x}{6}+\frac{5}{3}$$