Solve 4y-8/5-2x-4/20=-14-x/10

$$\frac { 4 y - 8 } { 5 } - \frac { 2 x - 4 } { 20 } = \frac { - 14 - x } { 10 }$$

Solve for y

$$y=0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,20,10.

$$4\left(4y-8\right)-\left(2x-4\right)=2\left(-14-x\right)$$

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

$$16y-32-\left(2x-4\right)=2\left(-14-x\right)$$

To find the opposite of 2x-4, find the opposite of each term.

$$16y-32-2x+4=2\left(-14-x\right)$$

Add -32 and 4 to get -28.

$$16y-28-2x=2\left(-14-x\right)$$

Use the distributive property to multiply 2 by -14-x.

$$16y-28-2x=-28-2x$$

Add 28 to both sides.

$$16y-2x=-28-2x+28$$

Add -28 and 28 to get 0.

$$16y-2x=-2x$$

Add 2x to both sides.

$$16y=-2x+2x$$

Combine -2x and 2x to get 0.

$$16y=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 16 is not equal to 0, y must be equal to 0.

$$y=0$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

$$y=0$$

Solve for x

$$x\in \mathrm{R}$$

$$y=0$$