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

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


Simplifying
6(2 + -2y) = 5 + -1(2y + -2)
(2 * 6 + -2y * 6) = 5 + -1(2y + -2)
(12 + -12y) = 5 + -1(2y + -2)

Reorder the terms:
12 + -12y = 5 + -1(-2 + 2y)
12 + -12y = 5 + (-2 * -1 + 2y * -1)
12 + -12y = 5 + (2 + -2y)

Combine like terms: 5 + 2 = 7
12 + -12y = 7 + -2y

Solving
12 + -12y = 7 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
12 + -12y + 2y = 7 + -2y + 2y

Combine like terms: -12y + 2y = -10y
12 + -10y = 7 + -2y + 2y

Combine like terms: -2y + 2y = 0
12 + -10y = 7 + 0
12 + -10y = 7

Add '-12' to each side of the equation.
12 + -12 + -10y = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -10y = 7 + -12
-10y = 7 + -12

Combine like terms: 7 + -12 = -5
-10y = -5

Divide each side by '-10'.
y = 0.5

Simplifying
y = 0.5

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