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

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


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

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

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

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

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

Add '-6y2' to each side of the equation.
-5 + y + 6y2 + -6y2 = -6 + -1y + 6y2 + -6y2

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

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

Solving
-5 + y = -6 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-5 + y + y = -6 + -1y + y

Combine like terms: y + y = 2y
-5 + 2y = -6 + -1y + y

Combine like terms: -1y + y = 0
-5 + 2y = -6 + 0
-5 + 2y = -6

Add '5' to each side of the equation.
-5 + 5 + 2y = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 2y = -6 + 5
2y = -6 + 5

Combine like terms: -6 + 5 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5

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