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Simplifying
(y2 + -4) * 64 = 81
Reorder the terms:
(-4 + y2) * 64 = 81
Reorder the terms for easier multiplication:
64(-4 + y2) = 81
(-4 * 64 + y2 * 64) = 81
(-256 + 64y2) = 81
Solving
-256 + 64y2 = 81
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '256' to each side of the equation.
-256 + 256 + 64y2 = 81 + 256
Combine like terms: -256 + 256 = 0
0 + 64y2 = 81 + 256
64y2 = 81 + 256
Combine like terms: 81 + 256 = 337
64y2 = 337
Divide each side by '64'.
y2 = 5.265625
Simplifying
y2 = 5.265625
Take the square root of each side:
y = {-2.294694969, 2.294694969}
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