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Simplifying
-4y2 + 36 = 0
Reorder the terms:
36 + -4y2 = 0
Solving
36 + -4y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-36' to each side of the equation.
36 + -36 + -4y2 = 0 + -36
Combine like terms: 36 + -36 = 0
0 + -4y2 = 0 + -36
-4y2 = 0 + -36
Combine like terms: 0 + -36 = -36
-4y2 = -36
Divide each side by '-4'.
y2 = 9
Simplifying
y2 = 9
Take the square root of each side:
y = {-3, 3}
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