2(y-1)+8=6(2y-4)

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Solution for 2(y-1)+8=6(2y-4) equation:


Simplifying
2(y + -1) + 8 = 6(2y + -4)

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

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

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

Reorder the terms:
6 + 2y = 6(-4 + 2y)
6 + 2y = (-4 * 6 + 2y * 6)
6 + 2y = (-24 + 12y)

Solving
6 + 2y = -24 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
6 + 2y + -12y = -24 + 12y + -12y

Combine like terms: 2y + -12y = -10y
6 + -10y = -24 + 12y + -12y

Combine like terms: 12y + -12y = 0
6 + -10y = -24 + 0
6 + -10y = -24

Add '-6' to each side of the equation.
6 + -6 + -10y = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -10y = -24 + -6
-10y = -24 + -6

Combine like terms: -24 + -6 = -30
-10y = -30

Divide each side by '-10'.
y = 3

Simplifying
y = 3

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