Solve y=12004(θ-pi/6)

$$y = 12004 ( \theta - \frac { \pi } { 6 } )$$

Solve for y

$$y=12004\theta -\frac{6002\pi }{3}$$

Solution Steps

Use the distributive property to multiply 12004 by \theta -\frac{\pi }{6}.

$$y=12004\theta +12004\left(-\frac{\pi }{6}\right)$$

Express 12004\left(-\frac{\pi }{6}\right) as a single fraction.

$$y=12004\theta +\frac{-12004\pi }{6}$$

Divide -12004\pi by 6 to get -\frac{6002}{3}\pi .

$$y=12004\theta -\frac{6002}{3}\pi$$

Solve for θ

$$\theta =\frac{y}{12004}+\frac{\pi }{6}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12004 by \theta -\frac{\pi }{6}.

$$y=12004\theta +12004\left(-\frac{\pi }{6}\right)$$

Express 12004\left(-\frac{\pi }{6}\right) as a single fraction.

$$y=12004\theta +\frac{-12004\pi }{6}$$

Divide -12004\pi by 6 to get -\frac{6002}{3}\pi .

$$y=12004\theta -\frac{6002}{3}\pi$$

Swap sides so that all variable terms are on the left hand side.

$$12004\theta -\frac{6002}{3}\pi =y$$

Add \frac{6002}{3}\pi to both sides.

$$12004\theta =y+\frac{6002}{3}\pi$$

The equation is in standard form.

$$12004\theta =y+\frac{6002\pi }{3}$$

Divide both sides by 12004.

$$\frac{12004\theta }{12004}=\frac{y+\frac{6002\pi }{3}}{12004}$$

Dividing by 12004 undoes the multiplication by 12004.

$$\theta =\frac{y+\frac{6002\pi }{3}}{12004}$$

Divide y+\frac{6002\pi }{3} by 12004.

$$\theta =\frac{y}{12004}+\frac{\pi }{6}$$