7y-2=9y+16

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Solution for 7y-2=9y+16 equation:


Simplifying
7y + -2 = 9y + 16

Reorder the terms:
-2 + 7y = 9y + 16

Reorder the terms:
-2 + 7y = 16 + 9y

Solving
-2 + 7y = 16 + 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.
-2 + 7y + -9y = 16 + 9y + -9y

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

Combine like terms: 9y + -9y = 0
-2 + -2y = 16 + 0
-2 + -2y = 16

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

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

Combine like terms: 16 + 2 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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