7y-6=2y+9

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Solution for 7y-6=2y+9 equation:


Simplifying
7y + -6 = 2y + 9

Reorder the terms:
-6 + 7y = 2y + 9

Reorder the terms:
-6 + 7y = 9 + 2y

Solving
-6 + 7y = 9 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-6 + 7y + -2y = 9 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-6 + 5y = 9 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 5y = 9 + 0
-6 + 5y = 9

Add '6' to each side of the equation.
-6 + 6 + 5y = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = 9 + 6
5y = 9 + 6

Combine like terms: 9 + 6 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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