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

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


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

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

Solving
12 + -12y = -10 + 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.
12 + -12y + -5y = -10 + 5y + -5y

Combine like terms: -12y + -5y = -17y
12 + -17y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -17y = -10 + 0
12 + -17y = -10

Add '-12' to each side of the equation.
12 + -12 + -17y = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -17y = -10 + -12
-17y = -10 + -12

Combine like terms: -10 + -12 = -22
-17y = -22

Divide each side by '-17'.
y = 1.294117647

Simplifying
y = 1.294117647

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