1/6y+5/12y=8.4 решение

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To solve the equation, we first need to find a common denominator for the fractions:

1/6y + 5/12y = 8.4

To find the common denominator, we need to multiply the denominators together. The least common multiple (LCM) of 6 and 12 is 12, so we can rewrite the equation with a common denominator of 12:

2/12y + 5/12y = 8.4

Now that we have a common denominator, we can combine the fractions:

(2 + 5)/12y = 8.4
7/12y = 8.4

To isolate the variable, we can multiply both sides by 12y to get rid of the denominator:

7 = 8.4 * 12y
7 = 100.8y

Now, we can solve for y by dividing both sides by 100.8:

y = 7/100.8
y = 0.06944

Therefore, the solution to the equation is y = 0.06944.