Solve 15%*r=25%*(y-750)

$$15 \% \times r = 25 \% \times ( y - 750 )$$

Solve for r

$$r=\frac{5\left(y-750\right)}{3}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3}{20}r=\frac{25}{100}\left(y-750\right)$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{20}r=\frac{1}{4}\left(y-750\right)$$

Use the distributive property to multiply \frac{1}{4} by y-750.

$$\frac{3}{20}r=\frac{1}{4}y-\frac{375}{2}$$

The equation is in standard form.

$$\frac{3}{20}r=\frac{y}{4}-\frac{375}{2}$$

Divide both sides of the equation by \frac{3}{20}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{20}r}{\frac{3}{20}}=\frac{\frac{y}{4}-\frac{375}{2}}{\frac{3}{20}}$$

Dividing by \frac{3}{20} undoes the multiplication by \frac{3}{20}.

$$r=\frac{\frac{y}{4}-\frac{375}{2}}{\frac{3}{20}}$$

Divide \frac{y}{4}-\frac{375}{2} by \frac{3}{20} by multiplying \frac{y}{4}-\frac{375}{2} by the reciprocal of \frac{3}{20}.

$$r=\frac{5y}{3}-1250$$

Solve for y

$$y=\frac{3\left(r+1250\right)}{5}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3}{20}r=\frac{25}{100}\left(y-750\right)$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{20}r=\frac{1}{4}\left(y-750\right)$$

Use the distributive property to multiply \frac{1}{4} by y-750.

$$\frac{3}{20}r=\frac{1}{4}y-\frac{375}{2}$$

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

$$\frac{1}{4}y-\frac{375}{2}=\frac{3}{20}r$$

Add \frac{375}{2} to both sides.

$$\frac{1}{4}y=\frac{3}{20}r+\frac{375}{2}$$

The equation is in standard form.

$$\frac{1}{4}y=\frac{3r}{20}+\frac{375}{2}$$

Multiply both sides by 4.

$$\frac{\frac{1}{4}y}{\frac{1}{4}}=\frac{\frac{3r}{20}+\frac{375}{2}}{\frac{1}{4}}$$

Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.

$$y=\frac{\frac{3r}{20}+\frac{375}{2}}{\frac{1}{4}}$$

Divide \frac{3r}{20}+\frac{375}{2} by \frac{1}{4} by multiplying \frac{3r}{20}+\frac{375}{2} by the reciprocal of \frac{1}{4}.

$$y=\frac{3r}{5}+750$$