To solve this equation, we need to follow the order of operations, which is parentheses first, then exponents, multiplication and division from left to right, and finally addition and subtraction from left to right.

8у2/5 ÷ 5ц1/4 + 1ц17/46 × 3ц2/7 ÷ 3ц1/20 - 1ц4/5

Step 1: Perform multiplication and division from left to right.

8у2/5 ÷ 5ц1/4 = 8у2/5 ÷ 5ц1/4 = (8у2/5) ÷ (5ц1/4) = (8/5) у × (4/5)ц = (84)/(55) уц = 32/25 уц

1ц17/46 × 3ц2/7 = (1ц17/46) × (3ц2/7) = (47/46) × (17/46) = 799/2116

3ц1/20 ÷ 1ц4/5 = (3ц1/20) ÷ (1ц4/5) = (61/20) ÷ (9/5) = (61/20) × (5/9) = 305/180 = 61/36 = 1ц25/36

Step 2: Substitute the values back into the expression.

32/25 уц + 799/2116 - 1ц25/36

Step 3: Calculate the result.

To add and subtract fractions, we need a common denominator.

Since 2116 is a perfect square, we'll use 2116 as the common denominator.

32/25 уц = (32/25) (84/84) = 2688/2100 уц
799/2116 = 799/2116
1ц25/36 = (12116+25)/2116 = 2141/2116

Combining them into a single fraction:

2688/2100 уц + 799/2116 - 2141/2116

To add or subtract fractions, we need a common denominator, which in this case is 2116:

(26882116)/(21002116) уц + 799 - 2141)/(2116)

This simplifies to:

5654223/4445400 уц + -1342/2116

Therefore, the final answer is 5654223/4445400 уц - 1342/2116.