2y-4=6(y-2)

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


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

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

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

Solving
-4 + 2y = -12 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-4 + 2y + -6y = -12 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
-4 + -4y = -12 + 0
-4 + -4y = -12

Add '4' to each side of the equation.
-4 + 4 + -4y = -12 + 4

Combine like terms: -4 + 4 = 0
0 + -4y = -12 + 4
-4y = -12 + 4

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

Divide each side by '-4'.
y = 2

Simplifying
y = 2

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