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Simplifying
8y2 + 1 = 33
Reorder the terms:
1 + 8y2 = 33
Solving
1 + 8y2 = 33
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 8y2 = 33 + -1
Combine like terms: 1 + -1 = 0
0 + 8y2 = 33 + -1
8y2 = 33 + -1
Combine like terms: 33 + -1 = 32
8y2 = 32
Divide each side by '8'.
y2 = 4
Simplifying
y2 = 4
Take the square root of each side:
y = {-2, 2}
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