Question

solve for y:
\frac{10}{3} = 2y
simplify your answer as much as possible.
y =

Explanation:

Step1: Divide both sides by 2

To solve for \( y \) in the equation \( \frac{10}{3}=2y \), we divide both sides of the equation by 2. This gives us \( y = \frac{\frac{10}{3}}{2} \).

Step2: Simplify the division

When dividing a fraction by a whole number, we can multiply the fraction by the reciprocal of the whole number. So, \( \frac{\frac{10}{3}}{2}=\frac{10}{3}\times\frac{1}{2} \). Multiplying the numerators and denominators, we get \( \frac{10\times1}{3\times2}=\frac{10}{6} \), which simplifies to \( \frac{5}{3} \).

Answer:

\( \frac{5}{3} \)