y^2-5y^2+4=0

Solution for y^2-5y^2+4=0 equation:

Simplifying
y2 + -5y2 + 4 = 0

Reorder the terms:
4 + y2 + -5y2 = 0

Combine like terms: y2 + -5y2 = -4y2
4 + -4y2 = 0

Solving
4 + -4y2 = 0

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + -4y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4y2 = 0 + -4
-4y2 = 0 + -4

Combine like terms: 0 + -4 = -4
-4y2 = -4

Divide each side by '-4'.
y2 = 1

Simplifying
y2 = 1

Take the square root of each side:
y = {-1, 1}