2y+13=-5y-8

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Solution for 2y+13=-5y-8 equation:


Simplifying
2y + 13 = -5y + -8

Reorder the terms:
13 + 2y = -5y + -8

Reorder the terms:
13 + 2y = -8 + -5y

Solving
13 + 2y = -8 + -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 = -8 + -5y + 5y

Combine like terms: 2y + 5y = 7y
13 + 7y = -8 + -5y + 5y

Combine like terms: -5y + 5y = 0
13 + 7y = -8 + 0
13 + 7y = -8

Add '-13' to each side of the equation.
13 + -13 + 7y = -8 + -13

Combine like terms: 13 + -13 = 0
0 + 7y = -8 + -13
7y = -8 + -13

Combine like terms: -8 + -13 = -21
7y = -21

Divide each side by '7'.
y = -3

Simplifying
y = -3

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