9y-27=2y+16

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Solution for 9y-27=2y+16 equation:


Simplifying
9y + -27 = 2y + 16

Reorder the terms:
-27 + 9y = 2y + 16

Reorder the terms:
-27 + 9y = 16 + 2y

Solving
-27 + 9y = 16 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-27 + 9y + -2y = 16 + 2y + -2y

Combine like terms: 9y + -2y = 7y
-27 + 7y = 16 + 2y + -2y

Combine like terms: 2y + -2y = 0
-27 + 7y = 16 + 0
-27 + 7y = 16

Add '27' to each side of the equation.
-27 + 27 + 7y = 16 + 27

Combine like terms: -27 + 27 = 0
0 + 7y = 16 + 27
7y = 16 + 27

Combine like terms: 16 + 27 = 43
7y = 43

Divide each side by '7'.
y = 6.142857143

Simplifying
y = 6.142857143

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