5y+14=8y-13

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Solution for 5y+14=8y-13 equation:


Simplifying
5y + 14 = 8y + -13

Reorder the terms:
14 + 5y = 8y + -13

Reorder the terms:
14 + 5y = -13 + 8y

Solving
14 + 5y = -13 + 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.
14 + 5y + -8y = -13 + 8y + -8y

Combine like terms: 5y + -8y = -3y
14 + -3y = -13 + 8y + -8y

Combine like terms: 8y + -8y = 0
14 + -3y = -13 + 0
14 + -3y = -13

Add '-14' to each side of the equation.
14 + -14 + -3y = -13 + -14

Combine like terms: 14 + -14 = 0
0 + -3y = -13 + -14
-3y = -13 + -14

Combine like terms: -13 + -14 = -27
-3y = -27

Divide each side by '-3'.
y = 9

Simplifying
y = 9

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