Solve 8y=5y+14+2yr

$$8 y = 5 y + 14 + 2 y r$$

Solve for r

$$r=\frac{3}{2}-\frac{7}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

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

$$5y+14+2yr=8y$$

Subtract 5y from both sides.

$$14+2yr=8y-5y$$

Combine 8y and -5y to get 3y.

$$14+2yr=3y$$

Subtract 14 from both sides.

$$2yr=3y-14$$

Divide both sides by 2y.

$$\frac{2yr}{2y}=\frac{3y-14}{2y}$$

Dividing by 2y undoes the multiplication by 2y.

$$r=\frac{3y-14}{2y}$$

Divide 3y-14 by 2y.

$$r=\frac{3}{2}-\frac{7}{y}$$

Solve for y

$$y=\frac{14}{3-2r}$$

$$r\neq \frac{3}{2}$$

Steps for Solving Linear Equation

Subtract 5y from both sides.

$$8y-5y=14+2yr$$

Combine 8y and -5y to get 3y.

$$3y=14+2yr$$

Subtract 2yr from both sides.

$$3y-2yr=14$$

Combine all terms containing y.

$$\left(3-2r\right)y=14$$

Divide both sides by 3-2r.

$$\frac{\left(3-2r\right)y}{3-2r}=\frac{14}{3-2r}$$

Dividing by 3-2r undoes the multiplication by 3-2r.

$$y=\frac{14}{3-2r}$$