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Simplifying
4y2 + -3 = 9
Reorder the terms:
-3 + 4y2 = 9
Solving
-3 + 4y2 = 9
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 4y2 = 9 + 3
Combine like terms: -3 + 3 = 0
0 + 4y2 = 9 + 3
4y2 = 9 + 3
Combine like terms: 9 + 3 = 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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