Question

Y/2+1/4=y/6
please help solve for y

Answer 1

Answer:

$y = \frac{-3}{4}$

Step-by-step explanation:

$\frac{y}{2} + \frac{1}{4} = \frac{y}{6}$

Lets take all the variable terms in L.H.S & all the constant terms in R.H.S.

(While taking a term from one side to another side , it's sign changes )

⇒ $\frac{y}{2} - \frac{y}{6} = -\frac{1}{4}$

Now in L.H.S. , lets solve the fractions and reduce its numerator and denominator .

⇒  $\frac{3y - y}{6} = -\frac{1}{4}$

⇒  $\frac{2y}{6} = -\frac{1}{4}$

⇒  $\frac{y}{3} = -\frac{1}{4}$

Lets multiplying 3 on both the sides .

⇒  $\frac{y}{3} \times 3 = -\frac{1}{4} \times 3$

⇒  $y = \frac{-3}{4}$