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y^2+8y-9=0

Add the constant 9 to both sides.

y^2+8y=9

Take half of the linear coefficient 8, square it and add it to both sides.

y^2+8y+16=9+16

Now factor the left side and simplify the right side

(y+4)^2=25

Square root both sides.

y+4=+/-5

y=-4+5 or -4-5

y=1 or -9

check your answers.1 works -9 works in the original equation.

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