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Simplifying
4y2 + 7 = 9
Reorder the terms:
7 + 4y2 = 9
Solving
7 + 4y2 = 9
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 4y2 = 9 + -7
Combine like terms: 7 + -7 = 0
0 + 4y2 = 9 + -7
4y2 = 9 + -7
Combine like terms: 9 + -7 = 2
4y2 = 2
Divide each side by '4'.
y2 = 0.5
Simplifying
y2 = 0.5
Take the square root of each side:
y = {-0.707106781, 0.707106781}
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