5y+8=9y-13

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Solution for 5y+8=9y-13 equation:


Simplifying
5y + 8 = 9y + -13

Reorder the terms:
8 + 5y = 9y + -13

Reorder the terms:
8 + 5y = -13 + 9y

Solving
8 + 5y = -13 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
8 + 5y + -9y = -13 + 9y + -9y

Combine like terms: 5y + -9y = -4y
8 + -4y = -13 + 9y + -9y

Combine like terms: 9y + -9y = 0
8 + -4y = -13 + 0
8 + -4y = -13

Add '-8' to each side of the equation.
8 + -8 + -4y = -13 + -8

Combine like terms: 8 + -8 = 0
0 + -4y = -13 + -8
-4y = -13 + -8

Combine like terms: -13 + -8 = -21
-4y = -21

Divide each side by '-4'.
y = 5.25

Simplifying
y = 5.25

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