Question

solve for y.
\\(\frac{y}{5} - \frac{3}{10} = \frac{y}{2}\\)
simplify your answer as much as possibl
\\(y = \square\\)

Explanation:

Step1: Eliminate denominators

Multiply all terms by 10 (LCM of 5,10,2):
$$10\times\frac{y}{5} - 10\times\frac{3}{10} = 10\times\frac{y}{2}$$
Simplify to get: $2y - 3 = 5y$

Step2: Isolate y terms

Subtract $2y$ from both sides:
$$2y - 2y - 3 = 5y - 2y$$
Simplify to get: $-3 = 3y$

Step3: Solve for y

Divide both sides by 3:
$$\frac{-3}{3} = \frac{3y}{3}$$

Answer:

$y = -1$