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Simplifying
2y2 + -10 + 8 = 8
Reorder the terms:
-10 + 8 + 2y2 = 8
Combine like terms: -10 + 8 = -2
-2 + 2y2 = 8
Solving
-2 + 2y2 = 8
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 2y2 = 8 + 2
Combine like terms: -2 + 2 = 0
0 + 2y2 = 8 + 2
2y2 = 8 + 2
Combine like terms: 8 + 2 = 10
2y2 = 10
Divide each side by '2'.
y2 = 5
Simplifying
y2 = 5
Take the square root of each side:
y = {-2.236067978, 2.236067978}
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