2(y-3)=2y+8-4(-3y-1)

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Solution for 2(y-3)=2y+8-4(-3y-1) equation:


Simplifying
2(y + -3) = 2y + 8 + -4(-3y + -1)

Reorder the terms:
2(-3 + y) = 2y + 8 + -4(-3y + -1)
(-3 * 2 + y * 2) = 2y + 8 + -4(-3y + -1)
(-6 + 2y) = 2y + 8 + -4(-3y + -1)

Reorder the terms:
-6 + 2y = 2y + 8 + -4(-1 + -3y)
-6 + 2y = 2y + 8 + (-1 * -4 + -3y * -4)
-6 + 2y = 2y + 8 + (4 + 12y)

Reorder the terms:
-6 + 2y = 8 + 4 + 2y + 12y

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

Combine like terms: 2y + 12y = 14y
-6 + 2y = 12 + 14y

Solving
-6 + 2y = 12 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-6 + 2y + -14y = 12 + 14y + -14y

Combine like terms: 2y + -14y = -12y
-6 + -12y = 12 + 14y + -14y

Combine like terms: 14y + -14y = 0
-6 + -12y = 12 + 0
-6 + -12y = 12

Add '6' to each side of the equation.
-6 + 6 + -12y = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -12y = 12 + 6
-12y = 12 + 6

Combine like terms: 12 + 6 = 18
-12y = 18

Divide each side by '-12'.
y = -1.5

Simplifying
y = -1.5

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