10y-9=7y+9

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Solution for 10y-9=7y+9 equation:


Simplifying
10y + -9 = 7y + 9

Reorder the terms:
-9 + 10y = 7y + 9

Reorder the terms:
-9 + 10y = 9 + 7y

Solving
-9 + 10y = 9 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-9 + 10y + -7y = 9 + 7y + -7y

Combine like terms: 10y + -7y = 3y
-9 + 3y = 9 + 7y + -7y

Combine like terms: 7y + -7y = 0
-9 + 3y = 9 + 0
-9 + 3y = 9

Add '9' to each side of the equation.
-9 + 9 + 3y = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 3y = 9 + 9
3y = 9 + 9

Combine like terms: 9 + 9 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

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