2y^2+2y+8-5y^2-2y-3=

Solution for 2y^2+2y+8-5y^2-2y-3= equation:

Simplifying
2y2 + 2y + 8 + -5y2 + -2y + -3 = 0

Reorder the terms:
8 + -3 + 2y + -2y + 2y2 + -5y2 = 0

Combine like terms: 8 + -3 = 5
5 + 2y + -2y + 2y2 + -5y2 = 0

Combine like terms: 2y + -2y = 0
5 + 0 + 2y2 + -5y2 = 0
5 + 2y2 + -5y2 = 0

Combine like terms: 2y2 + -5y2 = -3y2
5 + -3y2 = 0

Solving
5 + -3y2 = 0

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -3y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3y2 = 0 + -5
-3y2 = 0 + -5

Combine like terms: 0 + -5 = -5
-3y2 = -5

Divide each side by '-3'.
y2 = 1.666666667

Simplifying
y2 = 1.666666667

Take the square root of each side:
y = {-1.290994449, 1.290994449}