Solve C=0.7Y+40

$$C = 0.7 Y + 40$$

Solve for Y

$$Y=\frac{10C-400}{7}$$

Steps for Solving Linear Equation

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

$$0.7Y+40=C$$

Subtract 40 from both sides.

$$0.7Y=C-40$$

Divide both sides of the equation by 0.7, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.7Y}{0.7}=\frac{C-40}{0.7}$$

Dividing by 0.7 undoes the multiplication by 0.7.

$$Y=\frac{C-40}{0.7}$$

Divide C-40 by 0.7 by multiplying C-40 by the reciprocal of 0.7.

$$Y=\frac{10C-400}{7}$$

Solve for C

$$C=\frac{7Y}{10}+40$$