Question

solve and check.
\\(\frac{2}{5}y = 6\\)
the solution is \\(y = \square\\).
(simplify your answer.)

Explanation:

Step1: Isolate y via reciprocal

Multiply both sides by $\frac{5}{2}$:
$$\frac{5}{2} \times \frac{2}{5}y = 6 \times \frac{5}{2}$$

Step2: Simplify to find y

Cancel terms and calculate:
$$y = \frac{30}{2} = 15$$

Step3: Verify the solution

Substitute $y=15$ into original equation:
$$\frac{2}{5} \times 15 = 6$$
$$6=6$$

Answer:

$y=15$