17y-41=9y+31

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Solution for 17y-41=9y+31 equation:


Simplifying
17y + -41 = 9y + 31

Reorder the terms:
-41 + 17y = 9y + 31

Reorder the terms:
-41 + 17y = 31 + 9y

Solving
-41 + 17y = 31 + 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.
-41 + 17y + -9y = 31 + 9y + -9y

Combine like terms: 17y + -9y = 8y
-41 + 8y = 31 + 9y + -9y

Combine like terms: 9y + -9y = 0
-41 + 8y = 31 + 0
-41 + 8y = 31

Add '41' to each side of the equation.
-41 + 41 + 8y = 31 + 41

Combine like terms: -41 + 41 = 0
0 + 8y = 31 + 41
8y = 31 + 41

Combine like terms: 31 + 41 = 72
8y = 72

Divide each side by '8'.
y = 9

Simplifying
y = 9

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