2y-6=5(y-6)

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Solution for 2y-6=5(y-6) equation:


Simplifying
2y + -6 = 5(y + -6)

Reorder the terms:
-6 + 2y = 5(y + -6)

Reorder the terms:
-6 + 2y = 5(-6 + y)
-6 + 2y = (-6 * 5 + y * 5)
-6 + 2y = (-30 + 5y)

Solving
-6 + 2y = -30 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-6 + 2y + -5y = -30 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-6 + -3y = -30 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + -3y = -30 + 0
-6 + -3y = -30

Add '6' to each side of the equation.
-6 + 6 + -3y = -30 + 6

Combine like terms: -6 + 6 = 0
0 + -3y = -30 + 6
-3y = -30 + 6

Combine like terms: -30 + 6 = -24
-3y = -24

Divide each side by '-3'.
y = 8

Simplifying
y = 8

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