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Simplifying
2y2 + -12 = 106
Reorder the terms:
-12 + 2y2 = 106
Solving
-12 + 2y2 = 106
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 2y2 = 106 + 12
Combine like terms: -12 + 12 = 0
0 + 2y2 = 106 + 12
2y2 = 106 + 12
Combine like terms: 106 + 12 = 118
2y2 = 118
Divide each side by '2'.
y2 = 59
Simplifying
y2 = 59
Take the square root of each side:
y = {-7.681145748, 7.681145748}
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