7y+5=9y-17

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Solution for 7y+5=9y-17 equation:


Simplifying
7y + 5 = 9y + -17

Reorder the terms:
5 + 7y = 9y + -17

Reorder the terms:
5 + 7y = -17 + 9y

Solving
5 + 7y = -17 + 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.
5 + 7y + -9y = -17 + 9y + -9y

Combine like terms: 7y + -9y = -2y
5 + -2y = -17 + 9y + -9y

Combine like terms: 9y + -9y = 0
5 + -2y = -17 + 0
5 + -2y = -17

Add '-5' to each side of the equation.
5 + -5 + -2y = -17 + -5

Combine like terms: 5 + -5 = 0
0 + -2y = -17 + -5
-2y = -17 + -5

Combine like terms: -17 + -5 = -22
-2y = -22

Divide each side by '-2'.
y = 11

Simplifying
y = 11

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