(3y-2)-y=y+(6-y)

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


Simplifying
(3y + -2) + -1y = y + (6 + -1y)

Reorder the terms:
(-2 + 3y) + -1y = y + (6 + -1y)

Remove parenthesis around (-2 + 3y)
-2 + 3y + -1y = y + (6 + -1y)

Combine like terms: 3y + -1y = 2y
-2 + 2y = y + (6 + -1y)

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

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

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

Solving
-2 + 2y = 6

Solving for variable 'y'.

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

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

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

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

Divide each side by '2'.
y = 4

Simplifying
y = 4

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