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

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


Simplifying
-2(6 + 3y) + -4(y + -5) = -4y + 2y
(6 * -2 + 3y * -2) + -4(y + -5) = -4y + 2y
(-12 + -6y) + -4(y + -5) = -4y + 2y

Reorder the terms:
-12 + -6y + -4(-5 + y) = -4y + 2y
-12 + -6y + (-5 * -4 + y * -4) = -4y + 2y
-12 + -6y + (20 + -4y) = -4y + 2y

Reorder the terms:
-12 + 20 + -6y + -4y = -4y + 2y

Combine like terms: -12 + 20 = 8
8 + -6y + -4y = -4y + 2y

Combine like terms: -6y + -4y = -10y
8 + -10y = -4y + 2y

Combine like terms: -4y + 2y = -2y
8 + -10y = -2y

Solving
8 + -10y = -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.
8 + -10y + 2y = -2y + 2y

Combine like terms: -10y + 2y = -8y
8 + -8y = -2y + 2y

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

Add '-8' to each side of the equation.
8 + -8 + -8y = 0 + -8

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

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

Divide each side by '-8'.
y = 1

Simplifying
y = 1

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