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

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


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

Reorder the terms:
3(-4 + y) + -4 = -3(-4y + 4) + -1y
(-4 * 3 + y * 3) + -4 = -3(-4y + 4) + -1y
(-12 + 3y) + -4 = -3(-4y + 4) + -1y

Reorder the terms:
-12 + -4 + 3y = -3(-4y + 4) + -1y

Combine like terms: -12 + -4 = -16
-16 + 3y = -3(-4y + 4) + -1y

Reorder the terms:
-16 + 3y = -3(4 + -4y) + -1y
-16 + 3y = (4 * -3 + -4y * -3) + -1y
-16 + 3y = (-12 + 12y) + -1y

Combine like terms: 12y + -1y = 11y
-16 + 3y = -12 + 11y

Solving
-16 + 3y = -12 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
-16 + 3y + -11y = -12 + 11y + -11y

Combine like terms: 3y + -11y = -8y
-16 + -8y = -12 + 11y + -11y

Combine like terms: 11y + -11y = 0
-16 + -8y = -12 + 0
-16 + -8y = -12

Add '16' to each side of the equation.
-16 + 16 + -8y = -12 + 16

Combine like terms: -16 + 16 = 0
0 + -8y = -12 + 16
-8y = -12 + 16

Combine like terms: -12 + 16 = 4
-8y = 4

Divide each side by '-8'.
y = -0.5

Simplifying
y = -0.5

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