Solve 2(2y/3)-3y=

$$2 ( \frac { 2 y } { 3 } ) - 3 y =$$

Evaluate

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

Short Solution Steps

Express 2\times \frac{2y}{3} as a single fraction.

$$\frac{2\times 2y}{3}-3y$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -3y times \frac{3}{3}.

$$\frac{2\times 2y}{3}+\frac{3\left(-3\right)y}{3}$$

Since \frac{2\times 2y}{3} and \frac{3\left(-3\right)y}{3} have the same denominator, add them by adding their numerators.

$$\frac{2\times 2y+3\left(-3\right)y}{3}$$

Do the multiplications in 2\times 2y+3\left(-3\right)y.

$$\frac{4y-9y}{3}$$

Combine like terms in 4y-9y.

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

Differentiate w.r.t. y

$$-\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$$