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y^2 + y - 6 = 0

A way we could solve this equation is by factoring.

To factor, we have to find two factors of -6 that add up to 1, which is the coefficient for y.

-2 and 3 are two factors of -6 that add to 1.

Now, since we have 2 factors, let's factor

(y - 2) (y + 3) = 0

In order for this to be true, y-2 OR y+3 must equal 0.

y - 2 = 0

Add both sides by 2

y = 2

Now, let's solve for y+3 = 0

y + 3 = 0

Subtract both sides by 3

y  = -3

The two solutions to this equation are y=2 and y= -3.

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