(7 7/30) - (5 11/30 - y) = 3 19/30
Let's simplify this equation step by step. First, let's convert the mixed numbers into improper fractions:
(7 + 7/30) - (5 + 11/30 - y) = 3 + 19/30
Next, let's add the whole numbers and fractions separately:
(7/1 + 7/30) - (5/1 + 11/30 - y) = (3/1 + 19/30)
Now, let's calculate each part:
(7/1 + 7/30) = (210/30 + 7/30) = 217/30
(5/1 + 11/30 - y) = (150/30 + 11/30 - y) = (161/30 - y)
(3/1 + 19/30) = (90/30 + 19/30) = 109/30
Plugging these values back into the equation, we get:
217/30 - (161/30 - y) = 109/30
Let's simplify further:
217/30 - 161/30 + y = 109/30
Combining like terms:
56/30 + y = 109/30
Next, let's isolate 'y' by subtracting 56/30 from both sides:
y = 109/30 - 56/30
Simplifying:
y = 53/30
Therefore, the solution is y = 53/30.
Ответ: y = 53/30.
