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Simplifying
2y2 + 5 = 37
Reorder the terms:
5 + 2y2 = 37
Solving
5 + 2y2 = 37
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 2y2 = 37 + -5
Combine like terms: 5 + -5 = 0
0 + 2y2 = 37 + -5
2y2 = 37 + -5
Combine like terms: 37 + -5 = 32
2y2 = 32
Divide each side by '2'.
y2 = 16
Simplifying
y2 = 16
Take the square root of each side:
y = {-4, 4}
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