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

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


Simplifying
2(y + -2) = 5(2 + -1y)

Reorder the terms:
2(-2 + y) = 5(2 + -1y)
(-2 * 2 + y * 2) = 5(2 + -1y)
(-4 + 2y) = 5(2 + -1y)
-4 + 2y = (2 * 5 + -1y * 5)
-4 + 2y = (10 + -5y)

Solving
-4 + 2y = 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.
-4 + 2y + 5y = 10 + -5y + 5y

Combine like terms: 2y + 5y = 7y
-4 + 7y = 10 + -5y + 5y

Combine like terms: -5y + 5y = 0
-4 + 7y = 10 + 0
-4 + 7y = 10

Add '4' to each side of the equation.
-4 + 4 + 7y = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 7y = 10 + 4
7y = 10 + 4

Combine like terms: 10 + 4 = 14
7y = 14

Divide each side by '7'.
y = 2

Simplifying
y = 2

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