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

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


Simplifying
(y + -2) + -1(y + 2) = 6y

Reorder the terms:
(-2 + y) + -1(y + 2) = 6y

Remove parenthesis around (-2 + y)
-2 + y + -1(y + 2) = 6y

Reorder the terms:
-2 + y + -1(2 + y) = 6y
-2 + y + (2 * -1 + y * -1) = 6y
-2 + y + (-2 + -1y) = 6y

Reorder the terms:
-2 + -2 + y + -1y = 6y

Combine like terms: -2 + -2 = -4
-4 + y + -1y = 6y

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

Solving
-4 = 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-4 + -6y = 6y + -6y

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

Add '4' to each side of the equation.
-4 + 4 + -6y = 0 + 4

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

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

Divide each side by '-6'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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