(2y^2-8y+7)-(8y^2-8y+5)=

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Solution for (2y^2-8y+7)-(8y^2-8y+5)= equation: 


Simplifying
(2y2 + -8y + 7) + -1(8y2 + -8y + 5) = 0

Reorder the terms:
(7 + -8y + 2y2) + -1(8y2 + -8y + 5) = 0

Remove parenthesis around (7 + -8y + 2y2)
7 + -8y + 2y2 + -1(8y2 + -8y + 5) = 0

Reorder the terms:
7 + -8y + 2y2 + -1(5 + -8y + 8y2) = 0
7 + -8y + 2y2 + (5 * -1 + -8y * -1 + 8y2 * -1) = 0
7 + -8y + 2y2 + (-5 + 8y + -8y2) = 0

Reorder the terms:
7 + -5 + -8y + 8y + 2y2 + -8y2 = 0

Combine like terms: 7 + -5 = 2
2 + -8y + 8y + 2y2 + -8y2 = 0

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

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

Solving
2 + -6y2 = 0

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + -6y2 = 0 + -2

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

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

Divide each side by '-6'.
y2 = 0.3333333333

Simplifying
y2 = 0.3333333333

Take the square root of each side:
y = {-0.577350269, 0.577350269}

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