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

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


Simplifying
2(5 + -1y) = 5(y + -5)
(5 * 2 + -1y * 2) = 5(y + -5)
(10 + -2y) = 5(y + -5)

Reorder the terms:
10 + -2y = 5(-5 + y)
10 + -2y = (-5 * 5 + y * 5)
10 + -2y = (-25 + 5y)

Solving
10 + -2y = -25 + 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.
10 + -2y + -5y = -25 + 5y + -5y

Combine like terms: -2y + -5y = -7y
10 + -7y = -25 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + -7y = -25 + 0
10 + -7y = -25

Add '-10' to each side of the equation.
10 + -10 + -7y = -25 + -10

Combine like terms: 10 + -10 = 0
0 + -7y = -25 + -10
-7y = -25 + -10

Combine like terms: -25 + -10 = -35
-7y = -35

Divide each side by '-7'.
y = 5

Simplifying
y = 5

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