Solve 32/5-4x/5-4x/5=y

$$\frac { 32 } { 5 } - \frac { 4 x } { 5 } - \frac { 4 x } { 5 } = y$$

Solve for x

$$x=-\frac{5y}{8}+4$$

Steps for Solving Linear Equation

Combine -\frac{4x}{5} and -\frac{4x}{5} to get -\frac{2}{5}\times 4x.

$$\frac{32}{5}-\frac{2}{5}\times 4x=y$$

Multiply -\frac{2}{5} and 4 to get -\frac{8}{5}.

$$\frac{32}{5}-\frac{8}{5}x=y$$

Subtract \frac{32}{5} from both sides.

$$-\frac{8}{5}x=y-\frac{32}{5}$$

Divide both sides of the equation by -\frac{8}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{8}{5}x}{-\frac{8}{5}}=\frac{y-\frac{32}{5}}{-\frac{8}{5}}$$

Dividing by -\frac{8}{5} undoes the multiplication by -\frac{8}{5}.

$$x=\frac{y-\frac{32}{5}}{-\frac{8}{5}}$$

Divide y-\frac{32}{5} by -\frac{8}{5} by multiplying y-\frac{32}{5} by the reciprocal of -\frac{8}{5}.

$$x=-\frac{5y}{8}+4$$

Solve for y

$$y=\frac{32-8x}{5}$$

Solution Steps

Combine -\frac{4x}{5} and -\frac{4x}{5} to get -\frac{2}{5}\times 4x.

$$\frac{32}{5}-\frac{2}{5}\times 4x=y$$

Multiply -\frac{2}{5} and 4 to get -\frac{8}{5}.

$$\frac{32}{5}-\frac{8}{5}x=y$$

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

$$y=\frac{32}{5}-\frac{8}{5}x$$