10y-12=7y+9

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Solution for 10y-12=7y+9 equation:


Simplifying
10y + -12 = 7y + 9

Reorder the terms:
-12 + 10y = 7y + 9

Reorder the terms:
-12 + 10y = 9 + 7y

Solving
-12 + 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.
-12 + 10y + -7y = 9 + 7y + -7y

Combine like terms: 10y + -7y = 3y
-12 + 3y = 9 + 7y + -7y

Combine like terms: 7y + -7y = 0
-12 + 3y = 9 + 0
-12 + 3y = 9

Add '12' to each side of the equation.
-12 + 12 + 3y = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 3y = 9 + 12
3y = 9 + 12

Combine like terms: 9 + 12 = 21
3y = 21

Divide each side by '3'.
y = 7

Simplifying
y = 7

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