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Simplifying
8y2 + -10 + -3 = 0
Reorder the terms:
-10 + -3 + 8y2 = 0
Combine like terms: -10 + -3 = -13
-13 + 8y2 = 0
Solving
-13 + 8y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + 8y2 = 0 + 13
Combine like terms: -13 + 13 = 0
0 + 8y2 = 0 + 13
8y2 = 0 + 13
Combine like terms: 0 + 13 = 13
8y2 = 13
Divide each side by '8'.
y2 = 1.625
Simplifying
y2 = 1.625
Take the square root of each side:
y = {-1.274754878, 1.274754878}
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