5y+13=2y-2

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


Simplifying
5y + 13 = 2y + -2

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

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

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

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

Combine like terms: 2y + -2y = 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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