Simplify:

y-(-y+5)

y-(-y+5)=

y+(-1)(-y+5)

continue from there.

2y - 5

To simplify the expression y - (-y + 5), let's start by simplifying the expression inside the parentheses.

In (-y + 5), the negative sign (-) distributes to both terms inside the parentheses. This means that the negative sign applies to both y and 5, resulting in -y and -5.

So, the expression (-y + 5) simplifies to -y - 5.

Now, we can rewrite the original expression with the simplified expression inside the parentheses:

y - (-y + 5) = y - (-y - 5)

Next, we can remove the double negative sign by changing the sign of each term inside the parentheses:

y - (-y - 5) = y + y + 5

Finally, we can combine like terms by adding the y terms together:

y + y + 5 = 2y + 5

Therefore, the simplified expression is 2y + 5.