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

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

Evaluate

$$-\frac{9y}{4}+\frac{9}{2}$$

Solution Steps

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

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

Multiply -\frac{3}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-3\times 3}{2\times 2}.

$$\frac{-9}{4}y-\frac{3}{2}\left(-3\right)$$

Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

$$-\frac{9}{4}y-\frac{3}{2}\left(-3\right)$$

Express -\frac{3}{2}\left(-3\right) as a single fraction.

$$-\frac{9}{4}y+\frac{-3\left(-3\right)}{2}$$

Multiply -3 and -3 to get 9.

$$-\frac{9}{4}y+\frac{9}{2}$$

Expand

$$-\frac{9y}{4}+\frac{9}{2}$$

Solution Steps

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

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

Multiply -\frac{3}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-3\times 3}{2\times 2}.

$$\frac{-9}{4}y-\frac{3}{2}\left(-3\right)$$

Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

$$-\frac{9}{4}y-\frac{3}{2}\left(-3\right)$$

Express -\frac{3}{2}\left(-3\right) as a single fraction.

$$-\frac{9}{4}y+\frac{-3\left(-3\right)}{2}$$

Multiply -3 and -3 to get 9.

$$-\frac{9}{4}y+\frac{9}{2}$$