5y-2=3y+13

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Solution for 5y-2=3y+13 equation:


Simplifying
5y + -2 = 3y + 13

Reorder the terms:
-2 + 5y = 3y + 13

Reorder the terms:
-2 + 5y = 13 + 3y

Solving
-2 + 5y = 13 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-2 + 5y + -3y = 13 + 3y + -3y

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

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

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

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

Combine like terms: 13 + 2 = 15
2y = 15

Divide each side by '2'.
y = 7.5

Simplifying
y = 7.5

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