2y-6=4(y-2)

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


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

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

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

Solving
-6 + 2y = -8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-6 + 2y + -4y = -8 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
-6 + -2y = -8 + 0
-6 + -2y = -8

Add '6' to each side of the equation.
-6 + 6 + -2y = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = -8 + 6
-2y = -8 + 6

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

Divide each side by '-2'.
y = 1

Simplifying
y = 1

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