3y+16=8y-9

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Solution for 3y+16=8y-9 equation:


Simplifying
3y + 16 = 8y + -9

Reorder the terms:
16 + 3y = 8y + -9

Reorder the terms:
16 + 3y = -9 + 8y

Solving
16 + 3y = -9 + 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.
16 + 3y + -8y = -9 + 8y + -8y

Combine like terms: 3y + -8y = -5y
16 + -5y = -9 + 8y + -8y

Combine like terms: 8y + -8y = 0
16 + -5y = -9 + 0
16 + -5y = -9

Add '-16' to each side of the equation.
16 + -16 + -5y = -9 + -16

Combine like terms: 16 + -16 = 0
0 + -5y = -9 + -16
-5y = -9 + -16

Combine like terms: -9 + -16 = -25
-5y = -25

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

Simplifying
y = 5

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