Solve fy-10=y+90

$$f y - 10 = y + 90$$

Solve for f

$$f=\frac{y+100}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Add 10 to both sides.

$$fy=y+90+10$$

Add 90 and 10 to get 100.

$$fy=y+100$$

The equation is in standard form.

$$yf=y+100$$

Divide both sides by y.

$$\frac{yf}{y}=\frac{y+100}{y}$$

Dividing by y undoes the multiplication by y.

$$f=\frac{y+100}{y}$$

Solve for y

$$y=\frac{100}{f-1}$$

$$f\neq 1$$

Steps for Solving Linear Equation

Subtract y from both sides.

$$fy-10-y=90$$

Add 10 to both sides.

$$fy-y=90+10$$

Add 90 and 10 to get 100.

$$fy-y=100$$

Combine all terms containing y.

$$\left(f-1\right)y=100$$

Divide both sides by f-1.

$$\frac{\left(f-1\right)y}{f-1}=\frac{100}{f-1}$$

Dividing by f-1 undoes the multiplication by f-1.

$$y=\frac{100}{f-1}$$