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Simplifying
2y2 + 7 = 41
Reorder the terms:
7 + 2y2 = 41
Solving
7 + 2y2 = 41
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 2y2 = 41 + -7
Combine like terms: 7 + -7 = 0
0 + 2y2 = 41 + -7
2y2 = 41 + -7
Combine like terms: 41 + -7 = 34
2y2 = 34
Divide each side by '2'.
y2 = 17
Simplifying
y2 = 17
Take the square root of each side:
y = {-4.123105626, 4.123105626}
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