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

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


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

Reorder the terms:
-8 + 3y + 4y = 3(y + -4)

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

Reorder the terms:
-8 + 7y = 3(-4 + y)
-8 + 7y = (-4 * 3 + y * 3)
-8 + 7y = (-12 + 3y)

Solving
-8 + 7y = -12 + 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.
-8 + 7y + -3y = -12 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-8 + 4y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + 4y = -12 + 0
-8 + 4y = -12

Add '8' to each side of the equation.
-8 + 8 + 4y = -12 + 8

Combine like terms: -8 + 8 = 0
0 + 4y = -12 + 8
4y = -12 + 8

Combine like terms: -12 + 8 = -4
4y = -4

Divide each side by '4'.
y = -1

Simplifying
y = -1

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