Solve for y 1/3y+1/4=5/12

Problem

1/3*y+1/4=5/12

Solution

1. Identify the least common denominator (LCD) for all fractions in the equation, which is 12

2. Multiply every term in the equation by 12 to eliminate the denominators.

12⋅1/3*y+12⋅1/4=12⋅5/12

3. Simplify the resulting terms.

4*y+3=5

4. Isolate the term containing y by subtracting 3 from both sides of the equation.

4*y=5−3

4*y=2

5. Solve for y by dividing both sides by 4

y=2/4

6. Reduce the fraction to its simplest form.

y=1/2

Final Answer

1/3*y+1/4=5/12⇒y=1/2

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