Solve operatorname{cs}2pi/5=1-2y

$$\operatorname { cs } \frac { 2 \pi } { 5 } = 1 - 2 y$$

Solve for c (complex solution)

$$\left\{\begin{matrix}c=-\frac{5\left(2y-1\right)}{2\pi s}\text{, }&s\neq 0\\c\in \mathrm{C}\text{, }&y=\frac{1}{2}\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$cs\times 2\pi =5-10y$$

Reorder the terms.

$$2\pi cs=-10y+5$$

The equation is in standard form.

$$2\pi sc=5-10y$$

Divide both sides by 2\pi s.

$$\frac{2\pi sc}{2\pi s}=\frac{5-10y}{2\pi s}$$

Dividing by 2\pi s undoes the multiplication by 2\pi s.

$$c=\frac{5-10y}{2\pi s}$$

Divide -10y+5 by 2\pi s.

$$c=\frac{5\left(1-2y\right)}{2\pi s}$$

Solve for s (complex solution)

$$\left\{\begin{matrix}s=-\frac{5\left(2y-1\right)}{2\pi c}\text{, }&c\neq 0\\s\in \mathrm{C}\text{, }&y=\frac{1}{2}\text{ and }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$cs\times 2\pi =5-10y$$

Reorder the terms.

$$2\pi cs=-10y+5$$

The equation is in standard form.

$$2\pi cs=5-10y$$

Divide both sides by 2\pi c.

$$\frac{2\pi cs}{2\pi c}=\frac{5-10y}{2\pi c}$$

Dividing by 2\pi c undoes the multiplication by 2\pi c.

$$s=\frac{5-10y}{2\pi c}$$

Divide -10y+5 by 2\pi c.

$$s=\frac{5\left(1-2y\right)}{2\pi c}$$

Solve for c

$$\left\{\begin{matrix}c=-\frac{5\left(2y-1\right)}{2\pi s}\text{, }&s\neq 0\\c\in \mathrm{R}\text{, }&y=\frac{1}{2}\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$cs\times 2\pi =5-10y$$

Reorder the terms.

$$2\pi cs=-10y+5$$

The equation is in standard form.

$$2\pi sc=5-10y$$

Divide both sides by 2\pi s.

$$\frac{2\pi sc}{2\pi s}=\frac{5-10y}{2\pi s}$$

Dividing by 2\pi s undoes the multiplication by 2\pi s.

$$c=\frac{5-10y}{2\pi s}$$

Divide -10y+5 by 2\pi s.

$$c=\frac{5\left(1-2y\right)}{2\pi s}$$

Solve for s

$$\left\{\begin{matrix}s=-\frac{5\left(2y-1\right)}{2\pi c}\text{, }&c\neq 0\\s\in \mathrm{R}\text{, }&y=\frac{1}{2}\text{ and }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$cs\times 2\pi =5-10y$$

Reorder the terms.

$$2\pi cs=-10y+5$$

The equation is in standard form.

$$2\pi cs=5-10y$$

Divide both sides by 2\pi c.

$$\frac{2\pi cs}{2\pi c}=\frac{5-10y}{2\pi c}$$

Dividing by 2\pi c undoes the multiplication by 2\pi c.

$$s=\frac{5-10y}{2\pi c}$$

Divide -10y+5 by 2\pi c.

$$s=\frac{5\left(1-2y\right)}{2\pi c}$$