(4y^2-2y+2)-(7y^2-2y+8)=

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Solution for (4y^2-2y+2)-(7y^2-2y+8)= equation:


Simplifying
(4y2 + -2y + 2) + -1(7y2 + -2y + 8) = 0

Reorder the terms:
(2 + -2y + 4y2) + -1(7y2 + -2y + 8) = 0

Remove parenthesis around (2 + -2y + 4y2)
2 + -2y + 4y2 + -1(7y2 + -2y + 8) = 0

Reorder the terms:
2 + -2y + 4y2 + -1(8 + -2y + 7y2) = 0
2 + -2y + 4y2 + (8 * -1 + -2y * -1 + 7y2 * -1) = 0
2 + -2y + 4y2 + (-8 + 2y + -7y2) = 0

Reorder the terms:
2 + -8 + -2y + 2y + 4y2 + -7y2 = 0

Combine like terms: 2 + -8 = -6
-6 + -2y + 2y + 4y2 + -7y2 = 0

Combine like terms: -2y + 2y = 0
-6 + 0 + 4y2 + -7y2 = 0
-6 + 4y2 + -7y2 = 0

Combine like terms: 4y2 + -7y2 = -3y2
-6 + -3y2 = 0

Solving
-6 + -3y2 = 0

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + -3y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -3y2 = 0 + 6
-3y2 = 0 + 6

Combine like terms: 0 + 6 = 6
-3y2 = 6

Divide each side by '-3'.
y2 = -2

Simplifying
y2 = -2

Reorder the terms:
2 + y2 = -2 + 2

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

The solution to this equation could not be determined.

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