5y+13=8y-8

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


Simplifying
5y + 13 = 8y + -8

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

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

Solving
13 + 5y = -8 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
13 + 5y + -8y = -8 + 8y + -8y

Combine like terms: 5y + -8y = -3y
13 + -3y = -8 + 8y + -8y

Combine like terms: 8y + -8y = 0
13 + -3y = -8 + 0
13 + -3y = -8

Add '-13' to each side of the equation.
13 + -13 + -3y = -8 + -13

Combine like terms: 13 + -13 = 0
0 + -3y = -8 + -13
-3y = -8 + -13

Combine like terms: -8 + -13 = -21
-3y = -21

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

Simplifying
y = 7

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