5(y-1)=13-y

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Solution for 5(y-1)=13-y equation:


Simplifying
5(y + -1) = 13 + -1y

Reorder the terms:
5(-1 + y) = 13 + -1y
(-1 * 5 + y * 5) = 13 + -1y
(-5 + 5y) = 13 + -1y

Solving
-5 + 5y = 13 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-5 + 5y + y = 13 + -1y + y

Combine like terms: 5y + y = 6y
-5 + 6y = 13 + -1y + y

Combine like terms: -1y + y = 0
-5 + 6y = 13 + 0
-5 + 6y = 13

Add '5' to each side of the equation.
-5 + 5 + 6y = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 6y = 13 + 5
6y = 13 + 5

Combine like terms: 13 + 5 = 18
6y = 18

Divide each side by '6'.
y = 3

Simplifying
y = 3

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