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Simplifying
2y2 + -8 = 41
Reorder the terms:
-8 + 2y2 = 41
Solving
-8 + 2y2 = 41
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 2y2 = 41 + 8
Combine like terms: -8 + 8 = 0
0 + 2y2 = 41 + 8
2y2 = 41 + 8
Combine like terms: 41 + 8 = 49
2y2 = 49
Divide each side by '2'.
y2 = 24.5
Simplifying
y2 = 24.5
Take the square root of each side:
y = {-4.949747468, 4.949747468}
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