2y+13=5y-2

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


Simplifying
2y + 13 = 5y + -2

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

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

Solving
13 + 2y = -2 + 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.
13 + 2y + -5y = -2 + 5y + -5y

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

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

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

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

Combine like terms: -2 + -13 = -15
-3y = -15

Divide each side by '-3'.
y = 5

Simplifying
y = 5

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