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

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


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

Reorder the terms for easier multiplication:
6(2 + -2y) = 5(2y + -2)
(2 * 6 + -2y * 6) = 5(2y + -2)
(12 + -12y) = 5(2y + -2)

Reorder the terms:
12 + -12y = 5(-2 + 2y)
12 + -12y = (-2 * 5 + 2y * 5)
12 + -12y = (-10 + 10y)

Solving
12 + -12y = -10 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
12 + -12y + -10y = -10 + 10y + -10y

Combine like terms: -12y + -10y = -22y
12 + -22y = -10 + 10y + -10y

Combine like terms: 10y + -10y = 0
12 + -22y = -10 + 0
12 + -22y = -10

Add '-12' to each side of the equation.
12 + -12 + -22y = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -22y = -10 + -12
-22y = -10 + -12

Combine like terms: -10 + -12 = -22
-22y = -22

Divide each side by '-22'.
y = 1

Simplifying
y = 1

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