2y-2=2-3y+6

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Solution for 2y-2=2-3y+6 equation:


Simplifying
2y + -2 = 2 + -3y + 6

Reorder the terms:
-2 + 2y = 2 + -3y + 6

Reorder the terms:
-2 + 2y = 2 + 6 + -3y

Combine like terms: 2 + 6 = 8
-2 + 2y = 8 + -3y

Solving
-2 + 2y = 8 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-2 + 2y + 3y = 8 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-2 + 5y = 8 + -3y + 3y

Combine like terms: -3y + 3y = 0
-2 + 5y = 8 + 0
-2 + 5y = 8

Add '2' to each side of the equation.
-2 + 2 + 5y = 8 + 2

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

Combine like terms: 8 + 2 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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