8y-4=13y+16

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Solution for 8y-4=13y+16 equation:


Simplifying
8y + -4 = 13y + 16

Reorder the terms:
-4 + 8y = 13y + 16

Reorder the terms:
-4 + 8y = 16 + 13y

Solving
-4 + 8y = 16 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
-4 + 8y + -13y = 16 + 13y + -13y

Combine like terms: 8y + -13y = -5y
-4 + -5y = 16 + 13y + -13y

Combine like terms: 13y + -13y = 0
-4 + -5y = 16 + 0
-4 + -5y = 16

Add '4' to each side of the equation.
-4 + 4 + -5y = 16 + 4

Combine like terms: -4 + 4 = 0
0 + -5y = 16 + 4
-5y = 16 + 4

Combine like terms: 16 + 4 = 20
-5y = 20

Divide each side by '-5'.
y = -4

Simplifying
y = -4

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