5y-8=9y+16

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Solution for 5y-8=9y+16 equation:


Simplifying
5y + -8 = 9y + 16

Reorder the terms:
-8 + 5y = 9y + 16

Reorder the terms:
-8 + 5y = 16 + 9y

Solving
-8 + 5y = 16 + 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 = 16 + 9y + -9y

Combine like terms: 5y + -9y = -4y
-8 + -4y = 16 + 9y + -9y

Combine like terms: 9y + -9y = 0
-8 + -4y = 16 + 0
-8 + -4y = 16

Add '8' to each side of the equation.
-8 + 8 + -4y = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -4y = 16 + 8
-4y = 16 + 8

Combine like terms: 16 + 8 = 24
-4y = 24

Divide each side by '-4'.
y = -6

Simplifying
y = -6

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