3y+5=13-y

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Solution for 3y+5=13-y equation:


Simplifying
3y + 5 = 13 + -1y

Reorder the terms:
5 + 3y = 13 + -1y

Solving
5 + 3y = 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 + 3y + y = 13 + -1y + y

Combine like terms: 3y + y = 4y
5 + 4y = 13 + -1y + y

Combine like terms: -1y + y = 0
5 + 4y = 13 + 0
5 + 4y = 13

Add '-5' to each side of the equation.
5 + -5 + 4y = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 4y = 13 + -5
4y = 13 + -5

Combine like terms: 13 + -5 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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