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Simplifying
2y2 + -2 = 47
Reorder the terms:
-2 + 2y2 = 47
Solving
-2 + 2y2 = 47
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 = 47 + 2
Combine like terms: -2 + 2 = 0
0 + 2y2 = 47 + 2
2y2 = 47 + 2
Combine like terms: 47 + 2 = 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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