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

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


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

Reorder the terms:
-3(-2 + 6y) + -4 = -2(y + -4)
(-2 * -3 + 6y * -3) + -4 = -2(y + -4)
(6 + -18y) + -4 = -2(y + -4)

Reorder the terms:
6 + -4 + -18y = -2(y + -4)

Combine like terms: 6 + -4 = 2
2 + -18y = -2(y + -4)

Reorder the terms:
2 + -18y = -2(-4 + y)
2 + -18y = (-4 * -2 + y * -2)
2 + -18y = (8 + -2y)

Solving
2 + -18y = 8 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
2 + -18y + 2y = 8 + -2y + 2y

Combine like terms: -18y + 2y = -16y
2 + -16y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
2 + -16y = 8 + 0
2 + -16y = 8

Add '-2' to each side of the equation.
2 + -2 + -16y = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -16y = 8 + -2
-16y = 8 + -2

Combine like terms: 8 + -2 = 6
-16y = 6

Divide each side by '-16'.
y = -0.375

Simplifying
y = -0.375

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