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

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


Simplifying
-4(2 + -1y) + 3y = (y + -4)
(2 * -4 + -1y * -4) + 3y = (y + -4)
(-8 + 4y) + 3y = (y + -4)

Combine like terms: 4y + 3y = 7y
-8 + 7y = (y + -4)

Reorder the terms:
-8 + 7y = (-4 + y)

Remove parenthesis around (-4 + y)
-8 + 7y = -4 + y

Solving
-8 + 7y = -4 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-8 + 7y + -1y = -4 + y + -1y

Combine like terms: 7y + -1y = 6y
-8 + 6y = -4 + y + -1y

Combine like terms: y + -1y = 0
-8 + 6y = -4 + 0
-8 + 6y = -4

Add '8' to each side of the equation.
-8 + 8 + 6y = -4 + 8

Combine like terms: -8 + 8 = 0
0 + 6y = -4 + 8
6y = -4 + 8

Combine like terms: -4 + 8 = 4
6y = 4

Divide each side by '6'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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