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Simplifying
2y2 + -76 = 152
Reorder the terms:
-76 + 2y2 = 152
Solving
-76 + 2y2 = 152
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '76' to each side of the equation.
-76 + 76 + 2y2 = 152 + 76
Combine like terms: -76 + 76 = 0
0 + 2y2 = 152 + 76
2y2 = 152 + 76
Combine like terms: 152 + 76 = 228
2y2 = 228
Divide each side by '2'.
y2 = 114
Simplifying
y2 = 114
Take the square root of each side:
y = {-10.677078252, 10.677078252}
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