Solve 002(y-1)+020y=012y-09

$$002 ( y - 1 ) + 020 y = 012 y - 09$$

Solve for y (complex solution)

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

Solution Steps

Multiply 0 and 0 to get 0. Multiply 0 and 20 to get 0.

$$0\times 2\left(y-1\right)+0y=0\times 12y-0\times 9$$

Multiply 0 and 2 to get 0.

$$0\left(y-1\right)+0y=0\times 12y-0\times 9$$

Anything times zero gives zero.

$$0+0y=0\times 12y-0\times 9$$

Anything times zero gives zero.

$$0+0=0\times 12y-0\times 9$$

Add 0 and 0 to get 0.

$$0=0\times 12y-0\times 9$$

Multiply 0 and 12 to get 0.

$$0=0y-0\times 9$$

Anything times zero gives zero.

$$0=0-0\times 9$$

Multiply 0 and 9 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 0 to get 0. Multiply 0 and 20 to get 0.

$$0\times 2\left(y-1\right)+0y=0\times 12y-0\times 9$$

Multiply 0 and 2 to get 0.

$$0\left(y-1\right)+0y=0\times 12y-0\times 9$$

Anything times zero gives zero.

$$0+0y=0\times 12y-0\times 9$$

Anything times zero gives zero.

$$0+0=0\times 12y-0\times 9$$

Add 0 and 0 to get 0.

$$0=0\times 12y-0\times 9$$

Multiply 0 and 12 to get 0.

$$0=0y-0\times 9$$

Anything times zero gives zero.

$$0=0-0\times 9$$

Multiply 0 and 9 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.

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