Solve the equation

9y2 - 36y = -5

by completing the square.

Strategy: 1. Rewrite the equation with just the variable terms on the left.
2. Complete the square on the left side.
3. Extract square roots from both sides.
4.Solve the equation.
9(y2 - 4y) = -5
9(y2 - 4y + ___) = -5 + ___
Rewrite the equation with just the variable terms on the left. Add the same number to both sides so as to make the left side a perfect square.
Show work. This is done by taking half the coefficient of the linear term (i.e. half of 4), squaring that number, multiply it by the coefficient 9 and then adding that product to both sides.

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