-3(y-2y)+6=-2(2y-y)+4+4y

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Solution for -3(y-2y)+6=-2(2y-y)+4+4y equation:


Simplifying
-3(y + -2y) + 6 = -2(2y + -1y) + 4 + 4y

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

Remove parenthesis around (-1y)
-3 * -1y + 6 = -2(2y + -1y) + 4 + 4y

Multiply -3 * -1
3y + 6 = -2(2y + -1y) + 4 + 4y

Reorder the terms:
6 + 3y = -2(2y + -1y) + 4 + 4y

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

Remove parenthesis around (1y)
6 + 3y = -2 * 1y + 4 + 4y

Multiply -2 * 1
6 + 3y = -2y + 4 + 4y

Reorder the terms:
6 + 3y = 4 + -2y + 4y

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

Solving
6 + 3y = 4 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
6 + 3y + -2y = 4 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
6 + 1y = 4 + 0
6 + 1y = 4

Add '-6' to each side of the equation.
6 + -6 + 1y = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 4 + -6
1y = 4 + -6

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

Divide each side by '1'.
y = -2

Simplifying
y = -2

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