5y-13=2y+5

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Solution for 5y-13=2y+5 equation:


Simplifying
5y + -13 = 2y + 5

Reorder the terms:
-13 + 5y = 2y + 5

Reorder the terms:
-13 + 5y = 5 + 2y

Solving
-13 + 5y = 5 + 2y

Solving for variable 'y'.

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

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

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

Combine like terms: 2y + -2y = 0
-13 + 3y = 5 + 0
-13 + 3y = 5

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

Combine like terms: -13 + 13 = 0
0 + 3y = 5 + 13
3y = 5 + 13

Combine like terms: 5 + 13 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

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