2(5-2y)=35-9y

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Solution for 2(5-2y)=35-9y equation: 


Simplifying
2(5 + -2y) = 35 + -9y
(5 * 2 + -2y * 2) = 35 + -9y
(10 + -4y) = 35 + -9y

Solving
10 + -4y = 35 + -9y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '9y' to each side of the equation.
10 + -4y + 9y = 35 + -9y + 9y

Combine like terms: -4y + 9y = 5y
10 + 5y = 35 + -9y + 9y

Combine like terms: -9y + 9y = 0
10 + 5y = 35 + 0
10 + 5y = 35

Add '-10' to each side of the equation.
10 + -10 + 5y = 35 + -10

Combine like terms: 10 + -10 = 0
0 + 5y = 35 + -10
5y = 35 + -10

Combine like terms: 35 + -10 = 25
5y = 25

Divide each side by '5'.
y = 5

Simplifying
y = 5

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