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Simplifying
4y2 + -10 = 2
Reorder the terms:
-10 + 4y2 = 2
Solving
-10 + 4y2 = 2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 4y2 = 2 + 10
Combine like terms: -10 + 10 = 0
0 + 4y2 = 2 + 10
4y2 = 2 + 10
Combine like terms: 2 + 10 = 12
4y2 = 12
Divide each side by '4'.
y2 = 3
Simplifying
y2 = 3
Take the square root of each side:
y = {-1.732050808, 1.732050808}
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