Question

question
solve for y and simplify your answer.
\\(-\dfrac{2}{3}y = 20\\)

Explanation:

Step1: Multiply both sides by -3/2

To isolate \( y \), we multiply both sides of the equation \(-\frac{2}{3}y = 20\) by the reciprocal of \(-\frac{2}{3}\), which is \(-\frac{3}{2}\). So we have \(-\frac{3}{2} \times (-\frac{2}{3}y) = -\frac{3}{2} \times 20\).

Step2: Simplify both sides

On the left side, \(-\frac{3}{2} \times (-\frac{2}{3}) = 1\), so we get \( y \). On the right side, \(-\frac{3}{2} \times 20 = -30\) (because \( 20 \times 3 = 60 \), and \( 60 \div 2 = 30 \), with the negative sign).

Answer:

\( y = -30 \)