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If $2 y + 53 = 263 − y,$ then y=[[1]].

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Detailed Solution

2 y + 53 = 263 − y,

then y =

73

.
We have the linear equation as follows,

2 y + 53 = 263 − y

.
We multiply by 3 on each side of the equation and simplify as follows,

2 y (3) + 53 (3) = 263 (3) − y (3) 6 y + 5 = 26 − 3 y

6 y + 5 − 5 = 26 − 5 − 3 y 6 y = 21 − 3 y

6 y + 3 y = 21 − 3 y + 3 y 9 y = 21 9 y 9 = 219 y = 73

So, the value of the variable y is obtained as

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