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Simplifying
3y2 + 14 = y2 + 29
Reorder the terms:
14 + 3y2 = y2 + 29
Reorder the terms:
14 + 3y2 = 29 + y2
Solving
14 + 3y2 = 29 + y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-1y2' to each side of the equation.
14 + 3y2 + -1y2 = 29 + y2 + -1y2
Combine like terms: 3y2 + -1y2 = 2y2
14 + 2y2 = 29 + y2 + -1y2
Combine like terms: y2 + -1y2 = 0
14 + 2y2 = 29 + 0
14 + 2y2 = 29
Add '-14' to each side of the equation.
14 + -14 + 2y2 = 29 + -14
Combine like terms: 14 + -14 = 0
0 + 2y2 = 29 + -14
2y2 = 29 + -14
Combine like terms: 29 + -14 = 15
2y2 = 15
Divide each side by '2'.
y2 = 7.5
Simplifying
y2 = 7.5
Take the square root of each side:
y = {-2.738612788, 2.738612788}
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