Question

solve for y.
\\(-\frac{7}{3} + \frac{1}{5}y = -\frac{3}{2}\\)
simplify your answer as much as possible.
\\(y = \square\\)

Explanation:

Step1: Isolate the y-term

Add $\frac{7}{3}$ to both sides:
$$\frac{1}{5}y = -\frac{3}{2} + \frac{7}{3}$$

Step2: Compute right-hand side

Find common denominator 6:
$$\frac{1}{5}y = \frac{-9 + 14}{6} = \frac{5}{6}$$

Step3: Solve for y

Multiply both sides by 5:
$$y = \frac{5}{6} \times 5 = \frac{25}{6}$$

Answer:

$\frac{5}{6}$