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Online ProgramWhen writing the equation \(y = x{}^{2} + 6x + 7\), Angelica used the following steps. If she made any mistakes, explain them and write the correct equation.
\(y = x{}^{2} + 6x + 7\)
\(y - 7 = x{}^{2} + 6x\)
\(y - 7 - 9 = x{}^{2} + 6x + 9\)
\(y - 16 = (x + 3){}^{2}\)
\(y = (x + 3){}^{2} + 16\)