(3y-2)=(40-4y)

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Solution for (3y-2)=(40-4y) equation:


Simplifying
(3y + -2) = (40 + -4y)

Reorder the terms:
(-2 + 3y) = (40 + -4y)

Remove parenthesis around (-2 + 3y)
-2 + 3y = (40 + -4y)

Remove parenthesis around (40 + -4y)
-2 + 3y = 40 + -4y

Solving
-2 + 3y = 40 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-2 + 3y + 4y = 40 + -4y + 4y

Combine like terms: 3y + 4y = 7y
-2 + 7y = 40 + -4y + 4y

Combine like terms: -4y + 4y = 0
-2 + 7y = 40 + 0
-2 + 7y = 40

Add '2' to each side of the equation.
-2 + 2 + 7y = 40 + 2

Combine like terms: -2 + 2 = 0
0 + 7y = 40 + 2
7y = 40 + 2

Combine like terms: 40 + 2 = 42
7y = 42

Divide each side by '7'.
y = 6

Simplifying
y = 6

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