2y^2-61=101

Solution for 2y^2-61=101 equation:

Simplifying
2y2 + -61 = 101

Reorder the terms:
-61 + 2y2 = 101

Solving
-61 + 2y2 = 101

Solving for variable 'y'.

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

Add '61' to each side of the equation.
-61 + 61 + 2y2 = 101 + 61

Combine like terms: -61 + 61 = 0
0 + 2y2 = 101 + 61
2y2 = 101 + 61

Combine like terms: 101 + 61 = 162
2y2 = 162

Divide each side by '2'.
y2 = 81

Simplifying
y2 = 81

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