2(5-y)=22-5y

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Solution for 2(5-y)=22-5y equation: 


Simplifying
2(5 + -1y) = 22 + -5y
(5 * 2 + -1y * 2) = 22 + -5y
(10 + -2y) = 22 + -5y

Solving
10 + -2y = 22 + -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 = 22 + -5y + 5y

Combine like terms: -2y + 5y = 3y
10 + 3y = 22 + -5y + 5y

Combine like terms: -5y + 5y = 0
10 + 3y = 22 + 0
10 + 3y = 22

Add '-10' to each side of the equation.
10 + -10 + 3y = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 22 + -10
3y = 22 + -10

Combine like terms: 22 + -10 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4

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