Solve =2-4iyb=5+6i

$$= 2 - 4 i y b = 5 + 6 i$$

Solve for b

$$b=\frac{-\frac{3}{2}+\frac{3}{4}i}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply -1 and 4i to get -4i.

$$2-4iyb=5+6i$$

Subtract 2 from both sides.

$$-4iyb=5+6i-2$$

Subtract 2 from 5+6i to get 3+6i.

$$-4iyb=3+6i$$

The equation is in standard form.

$$\left(-4iy\right)b=3+6i$$

Divide both sides by -4iy.

$$\frac{\left(-4iy\right)b}{-4iy}=\frac{3+6i}{-4iy}$$

Dividing by -4iy undoes the multiplication by -4iy.

$$b=\frac{3+6i}{-4iy}$$

Divide 3+6i by -4iy.

$$b=\frac{-\frac{3}{2}+\frac{3}{4}i}{y}$$

Solve for y

$$y=\frac{-\frac{3}{2}+\frac{3}{4}i}{b}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply -1 and 4i to get -4i.

$$2-4iyb=5+6i$$

Subtract 2 from both sides.

$$-4iyb=5+6i-2$$

Subtract 2 from 5+6i to get 3+6i.

$$-4iyb=3+6i$$

The equation is in standard form.

$$\left(-4ib\right)y=3+6i$$

Divide both sides by -4ib.

$$\frac{\left(-4ib\right)y}{-4ib}=\frac{3+6i}{-4ib}$$

Dividing by -4ib undoes the multiplication by -4ib.

$$y=\frac{3+6i}{-4ib}$$

Divide 3+6i by -4ib.

$$y=\frac{-\frac{3}{2}+\frac{3}{4}i}{b}$$