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2y2 + y = -11y

Add 11y to each side of the equation:

2y2 + 12y = 0

Divide each side by 2:

y2 + 6y = 0

Factor the left side:

y (y + 6) = 0

The equation is true if either factor is zero:

y = 0

or (y + 6) = 0

y = -6

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