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Simplifying
2y2 + 16 + 15 = y2 + 36
Reorder the terms:
16 + 15 + 2y2 = y2 + 36
Combine like terms: 16 + 15 = 31
31 + 2y2 = y2 + 36
Reorder the terms:
31 + 2y2 = 36 + y2
Solving
31 + 2y2 = 36 + 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.
31 + 2y2 + -1y2 = 36 + y2 + -1y2
Combine like terms: 2y2 + -1y2 = 1y2
31 + 1y2 = 36 + y2 + -1y2
Combine like terms: y2 + -1y2 = 0
31 + 1y2 = 36 + 0
31 + 1y2 = 36
Add '-31' to each side of the equation.
31 + -31 + 1y2 = 36 + -31
Combine like terms: 31 + -31 = 0
0 + 1y2 = 36 + -31
1y2 = 36 + -31
Combine like terms: 36 + -31 = 5
1y2 = 5
Divide each side by '1'.
y2 = 5
Simplifying
y2 = 5
Take the square root of each side:
y = {-2.236067978, 2.236067978}
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