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

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


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

Reorder the terms:
-2(-3 + 6y) + -1y = -3(y + -4)
(-3 * -2 + 6y * -2) + -1y = -3(y + -4)
(6 + -12y) + -1y = -3(y + -4)

Combine like terms: -12y + -1y = -13y
6 + -13y = -3(y + -4)

Reorder the terms:
6 + -13y = -3(-4 + y)
6 + -13y = (-4 * -3 + y * -3)
6 + -13y = (12 + -3y)

Solving
6 + -13y = 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.
6 + -13y + 3y = 12 + -3y + 3y

Combine like terms: -13y + 3y = -10y
6 + -10y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + -10y = 12 + 0
6 + -10y = 12

Add '-6' to each side of the equation.
6 + -6 + -10y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -10y = 12 + -6
-10y = 12 + -6

Combine like terms: 12 + -6 = 6
-10y = 6

Divide each side by '-10'.
y = -0.6

Simplifying
y = -0.6

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