Solve y+60=sqrt{3}y

$$y + 60 = \sqrt { 3 } y$$

Solve for y

$$y=30\left(\sqrt{3}+1\right)\approx 81.961524227$$

Steps for Solving Linear Equation

Subtract \sqrt{3}y from both sides.

$$y+60-\sqrt{3}y=0$$

Subtract 60 from both sides. Anything subtracted from zero gives its negation.

$$y-\sqrt{3}y=-60$$

Combine all terms containing y.

$$\left(1-\sqrt{3}\right)y=-60$$

Divide both sides by 1-\sqrt{3}.

$$\frac{\left(1-\sqrt{3}\right)y}{1-\sqrt{3}}=-\frac{60}{1-\sqrt{3}}$$

Dividing by 1-\sqrt{3} undoes the multiplication by 1-\sqrt{3}.

$$y=-\frac{60}{1-\sqrt{3}}$$

Divide -60 by 1-\sqrt{3}.

$$y=30\sqrt{3}+30$$