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

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


Simplifying
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 = -2
-22y = -2

Divide each side by '-22'.
y = 0.09090909091

Simplifying
y = 0.09090909091

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