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

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


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

Reorder the terms:
-2(-4 + 3y) + -1y = -4(y + -3)
(-4 * -2 + 3y * -2) + -1y = -4(y + -3)
(8 + -6y) + -1y = -4(y + -3)

Combine like terms: -6y + -1y = -7y
8 + -7y = -4(y + -3)

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

Solving
8 + -7y = 12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
8 + -7y + 4y = 12 + -4y + 4y

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

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

Add '-8' to each side of the equation.
8 + -8 + -3y = 12 + -8

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

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

Divide each side by '-3'.
y = -1.333333333

Simplifying
y = -1.333333333

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