3(y-4)-6=-3(2y+8)-7y

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Solution for 3(y-4)-6=-3(2y+8)-7y equation: 


Simplifying
3(y + -4) + -6 = -3(2y + 8) + -7y

Reorder the terms:
3(-4 + y) + -6 = -3(2y + 8) + -7y
(-4 * 3 + y * 3) + -6 = -3(2y + 8) + -7y
(-12 + 3y) + -6 = -3(2y + 8) + -7y

Reorder the terms:
-12 + -6 + 3y = -3(2y + 8) + -7y

Combine like terms: -12 + -6 = -18
-18 + 3y = -3(2y + 8) + -7y

Reorder the terms:
-18 + 3y = -3(8 + 2y) + -7y
-18 + 3y = (8 * -3 + 2y * -3) + -7y
-18 + 3y = (-24 + -6y) + -7y

Combine like terms: -6y + -7y = -13y
-18 + 3y = -24 + -13y

Solving
-18 + 3y = -24 + -13y

Solving for variable 'y'.

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

Add '13y' to each side of the equation.
-18 + 3y + 13y = -24 + -13y + 13y

Combine like terms: 3y + 13y = 16y
-18 + 16y = -24 + -13y + 13y

Combine like terms: -13y + 13y = 0
-18 + 16y = -24 + 0
-18 + 16y = -24

Add '18' to each side of the equation.
-18 + 18 + 16y = -24 + 18

Combine like terms: -18 + 18 = 0
0 + 16y = -24 + 18
16y = -24 + 18

Combine like terms: -24 + 18 = -6
16y = -6

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

Simplifying
y = -0.375

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