[(5y^2+2)+(6y+7)]+(-8y^2+6y+6)=5y^2+2+6y+7-8y^2+6y+6

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Solution for [(5y^2+2)+(6y+7)]+(-8y^2+6y+6)=5y^2+2+6y+7-8y^2+6y+6 equation: 


Simplifying
[(5y2 + 2) + (6y + 7)] + (-8y2 + 6y + 6) = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Reorder the terms:
[(2 + 5y2) + (6y + 7)] + (-8y2 + 6y + 6) = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Remove parenthesis around (2 + 5y2)
[2 + 5y2 + (6y + 7)] + (-8y2 + 6y + 6) = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Reorder the terms:
[2 + 5y2 + (7 + 6y)] + (-8y2 + 6y + 6) = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Remove parenthesis around (7 + 6y)
[2 + 5y2 + 7 + 6y] + (-8y2 + 6y + 6) = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Reorder the terms:
[2 + 7 + 6y + 5y2] + (-8y2 + 6y + 6) = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Combine like terms: 2 + 7 = 9
[9 + 6y + 5y2] + (-8y2 + 6y + 6) = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Remove brackets around [9 + 6y + 5y2]
9 + 6y + 5y2 + (-8y2 + 6y + 6) = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Reorder the terms:
9 + 6y + 5y2 + (6 + 6y + -8y2) = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Remove parenthesis around (6 + 6y + -8y2)
9 + 6y + 5y2 + 6 + 6y + -8y2 = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Reorder the terms:
9 + 6 + 6y + 6y + 5y2 + -8y2 = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Combine like terms: 9 + 6 = 15
15 + 6y + 6y + 5y2 + -8y2 = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Combine like terms: 6y + 6y = 12y
15 + 12y + 5y2 + -8y2 = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Combine like terms: 5y2 + -8y2 = -3y2
15 + 12y + -3y2 = 5y2 + 2 + 6y + 7 + -8y2 + 6y + 6

Reorder the terms:
15 + 12y + -3y2 = 2 + 7 + 6 + 6y + 6y + 5y2 + -8y2

Combine like terms: 2 + 7 = 9
15 + 12y + -3y2 = 9 + 6 + 6y + 6y + 5y2 + -8y2

Combine like terms: 9 + 6 = 15
15 + 12y + -3y2 = 15 + 6y + 6y + 5y2 + -8y2

Combine like terms: 6y + 6y = 12y
15 + 12y + -3y2 = 15 + 12y + 5y2 + -8y2

Combine like terms: 5y2 + -8y2 = -3y2
15 + 12y + -3y2 = 15 + 12y + -3y2

Add '-15' to each side of the equation.
15 + 12y + -15 + -3y2 = 15 + 12y + -15 + -3y2

Reorder the terms:
15 + -15 + 12y + -3y2 = 15 + 12y + -15 + -3y2

Combine like terms: 15 + -15 = 0
0 + 12y + -3y2 = 15 + 12y + -15 + -3y2
12y + -3y2 = 15 + 12y + -15 + -3y2

Reorder the terms:
12y + -3y2 = 15 + -15 + 12y + -3y2

Combine like terms: 15 + -15 = 0
12y + -3y2 = 0 + 12y + -3y2
12y + -3y2 = 12y + -3y2

Add '-12y' to each side of the equation.
12y + -12y + -3y2 = 12y + -12y + -3y2

Combine like terms: 12y + -12y = 0
0 + -3y2 = 12y + -12y + -3y2
-3y2 = 12y + -12y + -3y2

Combine like terms: 12y + -12y = 0
-3y2 = 0 + -3y2
-3y2 = -3y2

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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