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Simplifying
4y2 + 8 + -36 = 0
Reorder the terms:
8 + -36 + 4y2 = 0
Combine like terms: 8 + -36 = -28
-28 + 4y2 = 0
Solving
-28 + 4y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '28' to each side of the equation.
-28 + 28 + 4y2 = 0 + 28
Combine like terms: -28 + 28 = 0
0 + 4y2 = 0 + 28
4y2 = 0 + 28
Combine like terms: 0 + 28 = 28
4y2 = 28
Divide each side by '4'.
y2 = 7
Simplifying
y2 = 7
Take the square root of each side:
y = {-2.645751311, 2.645751311}
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