2y-9=8y+33

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Solution for 2y-9=8y+33 equation:


Simplifying
2y + -9 = 8y + 33

Reorder the terms:
-9 + 2y = 8y + 33

Reorder the terms:
-9 + 2y = 33 + 8y

Solving
-9 + 2y = 33 + 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.
-9 + 2y + -8y = 33 + 8y + -8y

Combine like terms: 2y + -8y = -6y
-9 + -6y = 33 + 8y + -8y

Combine like terms: 8y + -8y = 0
-9 + -6y = 33 + 0
-9 + -6y = 33

Add '9' to each side of the equation.
-9 + 9 + -6y = 33 + 9

Combine like terms: -9 + 9 = 0
0 + -6y = 33 + 9
-6y = 33 + 9

Combine like terms: 33 + 9 = 42
-6y = 42

Divide each side by '-6'.
y = -7

Simplifying
y = -7

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