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

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


Simplifying
(y + -4) + -1(y + 2) = 3y

Reorder the terms:
(-4 + y) + -1(y + 2) = 3y

Remove parenthesis around (-4 + y)
-4 + y + -1(y + 2) = 3y

Reorder the terms:
-4 + y + -1(2 + y) = 3y
-4 + y + (2 * -1 + y * -1) = 3y
-4 + y + (-2 + -1y) = 3y

Reorder the terms:
-4 + -2 + y + -1y = 3y

Combine like terms: -4 + -2 = -6
-6 + y + -1y = 3y

Combine like terms: y + -1y = 0
-6 + 0 = 3y
-6 = 3y

Solving
-6 = 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.
-6 + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + -3y = 0

Add '6' to each side of the equation.
-6 + 6 + -3y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -3y = 0 + 6
-3y = 0 + 6

Combine like terms: 0 + 6 = 6
-3y = 6

Divide each side by '-3'.
y = -2

Simplifying
y = -2

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