Solve x=4/6(y+10)

$$x = \frac { 4 } { 6 } ( y + 10 )$$

Solve for x

$$x=\frac{2\left(y+10\right)}{3}$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{2}{3}\left(y+10\right)$$

Use the distributive property to multiply \frac{2}{3} by y+10.

$$x=\frac{2}{3}y+\frac{20}{3}$$

Solve for y

$$y=\frac{3x}{2}-10$$

Steps for Solving Linear Equation

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{2}{3}\left(y+10\right)$$

Use the distributive property to multiply \frac{2}{3} by y+10.

$$x=\frac{2}{3}y+\frac{20}{3}$$

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

$$\frac{2}{3}y+\frac{20}{3}=x$$

Subtract \frac{20}{3} from both sides.

$$\frac{2}{3}y=x-\frac{20}{3}$$

Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{3}y}{\frac{2}{3}}=\frac{x-\frac{20}{3}}{\frac{2}{3}}$$

Dividing by \frac{2}{3} undoes the multiplication by \frac{2}{3}.

$$y=\frac{x-\frac{20}{3}}{\frac{2}{3}}$$

Divide x-\frac{20}{3} by \frac{2}{3} by multiplying x-\frac{20}{3} by the reciprocal of \frac{2}{3}.

$$y=\frac{3x}{2}-10$$