Solve 012(y-2)+010y=018y-005(10)

$$012 ( y - 2 ) + 010 y = 018 y - 005 ( 10 )$$

Solve for y (complex solution)

$$y\in \mathrm{C}$$

Solution Steps

Multiply 0 and 12 to get 0. Multiply 0 and 10 to get 0.

$$0\left(y-2\right)+0y=0\times 18y-0\times 0\times 5\times 10$$

Anything times zero gives zero.

$$0+0y=0\times 18y-0\times 0\times 5\times 10$$

Anything times zero gives zero.

$$0+0=0\times 18y-0\times 0\times 5\times 10$$

Add 0 and 0 to get 0.

$$0=0\times 18y-0\times 0\times 5\times 10$$

Multiply 0 and 18 to get 0.

$$0=0y-0\times 0\times 5\times 10$$

Anything times zero gives zero.

$$0=0-0\times 0\times 5\times 10$$

Multiply 0 and 0 to get 0.

$$0=0-0\times 5\times 10$$

Multiply 0 and 5 to get 0.

$$0=0-0\times 10$$

Multiply 0 and 10 to get 0.

$$0=0-0$$

Subtracting 0 from itself leaves 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any y.

$$y\in \mathrm{C}$$

Solve for y

$$y\in \mathrm{R}$$

Solution Steps

Multiply 0 and 12 to get 0. Multiply 0 and 10 to get 0.

$$0\left(y-2\right)+0y=0\times 18y-0\times 0\times 5\times 10$$

Anything times zero gives zero.

$$0+0y=0\times 18y-0\times 0\times 5\times 10$$

Anything times zero gives zero.

$$0+0=0\times 18y-0\times 0\times 5\times 10$$

Add 0 and 0 to get 0.

$$0=0\times 18y-0\times 0\times 5\times 10$$

Multiply 0 and 18 to get 0.

$$0=0y-0\times 0\times 5\times 10$$

Anything times zero gives zero.

$$0=0-0\times 0\times 5\times 10$$

Multiply 0 and 0 to get 0.

$$0=0-0\times 5\times 10$$

Multiply 0 and 5 to get 0.

$$0=0-0\times 10$$

Multiply 0 and 10 to get 0.

$$0=0-0$$

Subtracting 0 from itself leaves 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any y.

$$y\in \mathrm{R}$$