Simplify: `(4-y)-2(2y - 3)`

Answer

To simplify the expression `(4 - y) - 2(2y - 3)`, we will follow the order of operations (PEMDAS/BODMAS). Here are the steps:

### Step 1: Distribute the -2
We start by distributing the -2 to the terms inside the parentheses `(2y - 3)`.

\[ (4 - y) - 2(2y - 3) = (4 - y) - (4y - 6) \]

### Step 2: Rewrite the expression
Now, we rewrite the expression by removing the parentheses, taking care to change the signs appropriately.

\[ 4 - y - 4y + 6 \]

### Step 3: Combine like terms
Next, we combine the constant terms and the terms with `y`.

- Combine the constant terms: \(4 + 6 = 10\)
- Combine the `y` terms: \(-y - 4y = -5y\)

Putting it all together, we have:

\[ 10 - 5y \]

### Final Answer
Thus, the simplified expression is:

\[ 10 - 5y \]