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Simplifying
y2 + 5y2 + -84 = 0
Reorder the terms:
-84 + y2 + 5y2 = 0
Combine like terms: y2 + 5y2 = 6y2
-84 + 6y2 = 0
Solving
-84 + 6y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '84' to each side of the equation.
-84 + 84 + 6y2 = 0 + 84
Combine like terms: -84 + 84 = 0
0 + 6y2 = 0 + 84
6y2 = 0 + 84
Combine like terms: 0 + 84 = 84
6y2 = 84
Divide each side by '6'.
y2 = 14
Simplifying
y2 = 14
Take the square root of each side:
y = {-3.741657387, 3.741657387}
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