2y-6=6(y-3)

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


Simplifying
2y + -6 = 6(y + -3)

Reorder the terms:
-6 + 2y = 6(y + -3)

Reorder the terms:
-6 + 2y = 6(-3 + y)
-6 + 2y = (-3 * 6 + y * 6)
-6 + 2y = (-18 + 6y)

Solving
-6 + 2y = -18 + 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.
-6 + 2y + -6y = -18 + 6y + -6y

Combine like terms: 2y + -6y = -4y
-6 + -4y = -18 + 6y + -6y

Combine like terms: 6y + -6y = 0
-6 + -4y = -18 + 0
-6 + -4y = -18

Add '6' to each side of the equation.
-6 + 6 + -4y = -18 + 6

Combine like terms: -6 + 6 = 0
0 + -4y = -18 + 6
-4y = -18 + 6

Combine like terms: -18 + 6 = -12
-4y = -12

Divide each side by '-4'.
y = 3

Simplifying
y = 3

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