y^2-82=-1

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Solution for y^2-82=-1 equation: 


Simplifying
y2 + -82 = -1

Reorder the terms:
-82 + y2 = -1

Solving
-82 + y2 = -1

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '82' to each side of the equation.
-82 + 82 + y2 = -1 + 82

Combine like terms: -82 + 82 = 0
0 + y2 = -1 + 82
y2 = -1 + 82

Combine like terms: -1 + 82 = 81
y2 = 81

Simplifying
y2 = 81

Take the square root of each side:
y = {-9, 9}

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