(8y^2-6y+1)-(6y^2-6y+5)=

Solution for (8y^2-6y+1)-(6y^2-6y+5)= equation:

Simplifying
(8y2 + -6y + 1) + -1(6y2 + -6y + 5) = 0

Reorder the terms:
(1 + -6y + 8y2) + -1(6y2 + -6y + 5) = 0

Remove parenthesis around (1 + -6y + 8y2)
1 + -6y + 8y2 + -1(6y2 + -6y + 5) = 0

Reorder the terms:
1 + -6y + 8y2 + -1(5 + -6y + 6y2) = 0
1 + -6y + 8y2 + (5 * -1 + -6y * -1 + 6y2 * -1) = 0
1 + -6y + 8y2 + (-5 + 6y + -6y2) = 0

Reorder the terms:
1 + -5 + -6y + 6y + 8y2 + -6y2 = 0

Combine like terms: 1 + -5 = -4
-4 + -6y + 6y + 8y2 + -6y2 = 0

Combine like terms: -6y + 6y = 0
-4 + 0 + 8y2 + -6y2 = 0
-4 + 8y2 + -6y2 = 0

Combine like terms: 8y2 + -6y2 = 2y2
-4 + 2y2 = 0

Solving
-4 + 2y2 = 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 + 2y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2y2 = 0 + 4
2y2 = 0 + 4

Combine like terms: 0 + 4 = 4
2y2 = 4

Divide each side by '2'.
y2 = 2

Simplifying
y2 = 2

Take the square root of each side:
y = {-1.414213562, 1.414213562}