String testText = @"This
is
my
test
text
string";
int toRemove = 2;
List<string> testLines = new List<String>(testText.Split(new String[] { Environment.NewLine }, StringSplitOptions.None));
for (int lineNo = 0; lineNo < toRemove; lineNo++)
{
testLines.RemoveAt(0);
}
textBox1.Text = String.Join(Environment.NewLine, testLines.ToArray());