[2y-2]=[28-3y]

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Solution for [2y-2]=[28-3y] equation:


Simplifying
[2y + -2] = [28 + -3y]

Reorder the terms:
[-2 + 2y] = [28 + -3y]

Remove brackets around [-2 + 2y]
-2 + 2y = [28 + -3y]

Remove brackets around [28 + -3y]
-2 + 2y = 28 + -3y

Solving
-2 + 2y = 28 + -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 = 28 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-2 + 5y = 28 + -3y + 3y

Combine like terms: -3y + 3y = 0
-2 + 5y = 28 + 0
-2 + 5y = 28

Add '2' to each side of the equation.
-2 + 2 + 5y = 28 + 2

Combine like terms: -2 + 2 = 0
0 + 5y = 28 + 2
5y = 28 + 2

Combine like terms: 28 + 2 = 30
5y = 30

Divide each side by '5'.
y = 6

Simplifying
y = 6

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