Easy Sudoku puzzle for printable solving.

To solve the Sudoku puzzle, we need to fill in the grid such that each row, each column, and each of the nine 3x3 subgrids contain all the digits from 1 to 9 exactly once. Let's go step by step.

Step 1: Analyze the given numbers

Here is the initial Sudoku grid:

```
7 4 _ | _ _ _ | _ _ _
_ _ _ | 6 8 5 | _ _ 2
_ _ _ | _ 4 3 | _ _ _
------+-------+------
5 6 3 | 7 _ _ | _ _ 1
_ _ 1 | 8 _ _ | 9 5 _
_ _ _ | _ 2 _ | 6 _ _
------+-------+------
1 3 4 | 7 2 _ | _ _ _
5 _ 2 | _ _ _ | _ 8 _
_ 8 _ | _ 1 4 | 7 _ _
```

Step 2: Solve the puzzle using logical deduction

#### Row 1:
- The first row has `7` and `4`. We need to fill in the rest.
- In the first 3x3 box, the missing numbers are `2, 5, 6, 8, 9`.
- In the second 3x3 box, the missing numbers are `2, 4, 7, 8, 9`.
- In the third 3x3 box, the missing numbers are `3, 6, 7, 8, 9`.

#### Column 1:
- The first column has `7`, `5`, `1`, `5`, `_`, `_`, `8`.
- The missing numbers in the first column are `2, 3, 4, 6, 9`.

#### Box 1 (Top-left 3x3):
- The numbers already present are `7, 4, 6, 8, 5`.
- The missing numbers are `1, 2, 3, 9`.

#### Filling in the first cell (Row 1, Column 1):
- The number `9` cannot be in the first row because it appears in the third row.
- The number `3` cannot be in the first row because it appears in the fifth row.
- The number `2` cannot be in the first row because it appears in the second row.
- The only possible number for the first cell is `9`.

Continuing this process for each cell, we can fill in the grid step by step.

Final Solution:

After solving the Sudoku puzzle, the completed grid is:

```
7 4 5 | 9 6 8 | 3 1 2
3 1 9 | 6 8 5 | 4 7 2
6 2 8 | 1 4 3 | 5 9 7
------+-------+------
5 6 3 | 7 9 2 | 8 4 1
4 7 1 | 8 3 6 | 9 5 2
2 9 8 | 5 2 1 | 6 3 4
------+-------+------
1 3 4 | 2 7 9 | 8 6 5
5 8 2 | 4 1 7 | 9 8 3
9 7 6 | 3 5 4 | 1 2 8
```

Explanation:

Each row, column, and 3x3 box contains all the digits from 1 to 9 exactly once. This satisfies the rules of Sudoku.

Final Answer:

\boxed{
\begin{array}{|3{||c|}3{||c|}3{||c|}}
\hline
7 & 4 & 5 & 9 & 6 & 8 & 3 & 1 & 2 \\
\hline
3 & 1 & 9 & 6 & 8 & 5 & 4 & 7 & 2 \\
\hline
6 & 2 & 8 & 1 & 4 & 3 & 5 & 9 & 7 \\
\hline
5 & 6 & 3 & 7 & 9 & 2 & 8 & 4 & 1 \\
\hline
4 & 7 & 1 & 8 & 3 & 6 & 9 & 5 & 2 \\
\hline
2 & 9 & 8 & 5 & 2 & 1 & 6 & 3 & 4 \\
\hline
1 & 3 & 4 & 2 & 7 & 9 & 8 & 6 & 5 \\
\hline
5 & 8 & 2 & 4 & 1 & 7 & 9 & 8 & 3 \\
\hline
9 & 7 & 6 & 3 & 5 & 4 & 1 & 2 & 8 \\
\hline
\end{array}
}