3y+5=y+13

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


Simplifying
3y + 5 = y + 13

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

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

Solving
5 + 3y = 13 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
5 + 3y + -1y = 13 + y + -1y

Combine like terms: 3y + -1y = 2y
5 + 2y = 13 + y + -1y

Combine like terms: y + -1y = 0
5 + 2y = 13 + 0
5 + 2y = 13

Add '-5' to each side of the equation.
5 + -5 + 2y = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 2y = 13 + -5
2y = 13 + -5

Combine like terms: 13 + -5 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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