2(y-4)-6=-7(-3y+3)-5y

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Solution for 2(y-4)-6=-7(-3y+3)-5y equation: 


Simplifying
2(y + -4) + -6 = -7(-3y + 3) + -5y

Reorder the terms:
2(-4 + y) + -6 = -7(-3y + 3) + -5y
(-4 * 2 + y * 2) + -6 = -7(-3y + 3) + -5y
(-8 + 2y) + -6 = -7(-3y + 3) + -5y

Reorder the terms:
-8 + -6 + 2y = -7(-3y + 3) + -5y

Combine like terms: -8 + -6 = -14
-14 + 2y = -7(-3y + 3) + -5y

Reorder the terms:
-14 + 2y = -7(3 + -3y) + -5y
-14 + 2y = (3 * -7 + -3y * -7) + -5y
-14 + 2y = (-21 + 21y) + -5y

Combine like terms: 21y + -5y = 16y
-14 + 2y = -21 + 16y

Solving
-14 + 2y = -21 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-14 + 2y + -16y = -21 + 16y + -16y

Combine like terms: 2y + -16y = -14y
-14 + -14y = -21 + 16y + -16y

Combine like terms: 16y + -16y = 0
-14 + -14y = -21 + 0
-14 + -14y = -21

Add '14' to each side of the equation.
-14 + 14 + -14y = -21 + 14

Combine like terms: -14 + 14 = 0
0 + -14y = -21 + 14
-14y = -21 + 14

Combine like terms: -21 + 14 = -7
-14y = -7

Divide each side by '-14'.
y = 0.5

Simplifying
y = 0.5

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