Question

Solve.
y/2-5y/6+1/3=1/2

Answer 1

y = -1/2

Explanation:

y/2-5y/6+1/3=1/2

multiply all by 6 to remove the denominators

3y - 5y + 2 = 3

-2y = 1

y = -1/2

Answer 2

`y =- (1)/(2)`

Explanation:

Pre-Solving

We are given the following equation:

`(y)/(2) - (5y)/(6) + (1)/(3) = (1)/(2)`

We want to solve it for y.

To do that, we need to isolate y on one side.

Since all of the terms are fractions, we can multiply each term by a common factor to clear the fractions.

The common factor will be the least common multiple of the denominators.

Looking at it, the denominators are 2, 6, and 3, so the LCM is 6.

Solving

Multiply both sides by 6.

`6((y)/(2) - (5y)/(6) + (1)/(3)) = 6((1)/(2))`

Distribute 6 to both sides.

3y - 5y + 2 = 3

Combine like terms.

-2y + 2 = 3

Subtract 2 from both sides.

-2y + 2 = 3

-2 -2

_____________

-2y = 1

Divide both sides by -2.

`y =- (1)/(2)`