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Simplifying
(y2 + 2y + -1) + (y2 + -2y + -1) = 0
Reorder the terms:
(-1 + 2y + y2) + (y2 + -2y + -1) = 0
Remove parenthesis around (-1 + 2y + y2)
-1 + 2y + y2 + (y2 + -2y + -1) = 0
Reorder the terms:
-1 + 2y + y2 + (-1 + -2y + y2) = 0
Remove parenthesis around (-1 + -2y + y2)
-1 + 2y + y2 + -1 + -2y + y2 = 0
Reorder the terms:
-1 + -1 + 2y + -2y + y2 + y2 = 0
Combine like terms: -1 + -1 = -2
-2 + 2y + -2y + y2 + y2 = 0
Combine like terms: 2y + -2y = 0
-2 + 0 + y2 + y2 = 0
-2 + y2 + y2 = 0
Combine like terms: y2 + y2 = 2y2
-2 + 2y2 = 0
Solving
-2 + 2y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 2y2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 2y2 = 0 + 2
2y2 = 0 + 2
Combine like terms: 0 + 2 = 2
2y2 = 2
Divide each side by '2'.
y2 = 1
Simplifying
y2 = 1
Take the square root of each side:
y = {-1, 1}
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