5/2 + 9/2 / ( 17/5 - 3/2 /y)=25/6

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вопрос

To solve this equation, we first simplify the expression on the right side of the equation:

5/2 + 9/2 = 14/2 = 7

Now, let's simplify the expression on the left side of the equation:

(17/5 - 3/2) / y = (34/10 -15/10) / y = 19/10 / y = 19y/10

Now, we can rewrite the equation with the simplified expressions:

7 / (19y/10) = 25/6

To solve for y, we can cross multiply:

7 10 = 19y 25/6
70 = 475y / 6

Now, let's isolate y by multiplying both sides by 6:

70 * 6 = 475y
420 = 475y

Divide both sides by 475 to solve for y:

y = 420 / 475
y = 0.88421052631

Therefore, the value of y is approximately 0.8842.