Solve (2(1/5)-3y+8

$$( 2 ( \frac { 1 } { 5 } ) - 3 y + 8$$

Evaluate

$$\frac{42}{5}-3y$$

Solution Steps

Multiply 2 and \frac{1}{5} to get \frac{2}{5}.

$$\frac{2}{5}-3y+8$$

Convert 8 to fraction \frac{40}{5}.

$$\frac{2}{5}-3y+\frac{40}{5}$$

Since \frac{2}{5} and \frac{40}{5} have the same denominator, add them by adding their numerators.

$$\frac{2+40}{5}-3y$$

Add 2 and 40 to get 42.

$$\frac{42}{5}-3y$$

Factor

$$\frac{3\left(14-5y\right)}{5}$$

Solution Steps

Factor out \frac{1}{5}.

$$\frac{42-15y}{5}$$

Consider 2-15y+40. Multiply and combine like terms.

$$-15y+42$$

Consider -15y+42. Factor out 3.

$$3\left(-5y+14\right)$$

Rewrite the complete factored expression.

$$\frac{3\left(-5y+14\right)}{5}$$