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Simplifying
8y2 = 2y2 + 25
Reorder the terms:
8y2 = 25 + 2y2
Solving
8y2 = 25 + 2y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2y2' to each side of the equation.
8y2 + -2y2 = 25 + 2y2 + -2y2
Combine like terms: 8y2 + -2y2 = 6y2
6y2 = 25 + 2y2 + -2y2
Combine like terms: 2y2 + -2y2 = 0
6y2 = 25 + 0
6y2 = 25
Divide each side by '6'.
y2 = 4.166666667
Simplifying
y2 = 4.166666667
Take the square root of each side:
y = {-2.041241452, 2.041241452}
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