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

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


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

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

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

Reorder the terms:
-8 + 2y = -6 + -8 + -3y

Combine like terms: -6 + -8 = -14
-8 + 2y = -14 + -3y

Solving
-8 + 2y = -14 + -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.
-8 + 2y + 3y = -14 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-8 + 5y = -14 + -3y + 3y

Combine like terms: -3y + 3y = 0
-8 + 5y = -14 + 0
-8 + 5y = -14

Add '8' to each side of the equation.
-8 + 8 + 5y = -14 + 8

Combine like terms: -8 + 8 = 0
0 + 5y = -14 + 8
5y = -14 + 8

Combine like terms: -14 + 8 = -6
5y = -6

Divide each side by '5'.
y = -1.2

Simplifying
y = -1.2

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