2y+5=5y-13

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


Simplifying
2y + 5 = 5y + -13

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

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

Solving
5 + 2y = -13 + 5y

Solving for variable 'y'.

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

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

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

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

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

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

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

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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