Simplify the following
`5y-[2y-5(2-y)]`

Answer

To simplify the expression \( 5y - [2y - 5(2 - y)] \), we will follow these steps:

### Step 1: Distribute the \(5\) inside the brackets
We start with the expression:
\[ 5y - [2y - 5(2 - y)] \]
Now, we distribute \(5\) to both terms inside the parentheses \( (2 - y) \):
\[ 5y - [2y - (5 \cdot 2) + (5 \cdot y)] \]
This simplifies to:
\[ 5y - [2y - 10 + 5y] \]

### Step 2: Combine like terms inside the brackets
Now, we simplify the expression inside the brackets:
\[ 5y - [2y + 5y - 10] \]
This gives us:
\[ 5y - [7y - 10] \]

### Step 3: Distribute the negative sign
Next, we distribute the negative sign across the terms inside the brackets:
\[ 5y - 7y + 10 \]

### Step 4: Combine like terms
Now, we combine the like terms:
\[ (5y - 7y) + 10 = -2y + 10 \]

### Final Result
Thus, the simplified expression is:
\[ -2y + 10 \]

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