Y^2-y-20=-y-4

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Solution for Y^2-y-20=-y-4 equation:


Simplifying
Y2 + -1y + -20 = -1y + -4

Reorder the terms:
-20 + Y2 + -1y = -1y + -4

Reorder the terms:
-20 + Y2 + -1y = -4 + -1y

Add 'y' to each side of the equation.
-20 + Y2 + -1y + y = -4 + -1y + y

Combine like terms: -1y + y = 0
-20 + Y2 + 0 = -4 + -1y + y
-20 + Y2 = -4 + -1y + y

Combine like terms: -1y + y = 0
-20 + Y2 = -4 + 0
-20 + Y2 = -4

Solving
-20 + Y2 = -4

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '20' to each side of the equation.
-20 + 20 + Y2 = -4 + 20

Combine like terms: -20 + 20 = 0
0 + Y2 = -4 + 20
Y2 = -4 + 20

Combine like terms: -4 + 20 = 16
Y2 = 16

Simplifying
Y2 = 16

Take the square root of each side:
Y = {-4, 4}

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