3y^2+65=2y^2+127

Solution for 3y^2+65=2y^2+127 equation:

Simplifying
3y2 + 65 = 2y2 + 127

Reorder the terms:
65 + 3y2 = 2y2 + 127

Reorder the terms:
65 + 3y2 = 127 + 2y2

Solving
65 + 3y2 = 127 + 2y2

Solving for variable 'y'.

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

Add '-2y2' to each side of the equation.
65 + 3y2 + -2y2 = 127 + 2y2 + -2y2

Combine like terms: 3y2 + -2y2 = 1y2
65 + 1y2 = 127 + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
65 + 1y2 = 127 + 0
65 + 1y2 = 127

Add '-65' to each side of the equation.
65 + -65 + 1y2 = 127 + -65

Combine like terms: 65 + -65 = 0
0 + 1y2 = 127 + -65
1y2 = 127 + -65

Combine like terms: 127 + -65 = 62
1y2 = 62

Divide each side by '1'.
y2 = 62

Simplifying
y2 = 62

Take the square root of each side:
y = {-7.874007874, 7.874007874}