(6y-9)=2y+13

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Solution for (6y-9)=2y+13 equation:


Simplifying
(6y + -9) = 2y + 13

Reorder the terms:
(-9 + 6y) = 2y + 13

Remove parenthesis around (-9 + 6y)
-9 + 6y = 2y + 13

Reorder the terms:
-9 + 6y = 13 + 2y

Solving
-9 + 6y = 13 + 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.
-9 + 6y + -2y = 13 + 2y + -2y

Combine like terms: 6y + -2y = 4y
-9 + 4y = 13 + 2y + -2y

Combine like terms: 2y + -2y = 0
-9 + 4y = 13 + 0
-9 + 4y = 13

Add '9' to each side of the equation.
-9 + 9 + 4y = 13 + 9

Combine like terms: -9 + 9 = 0
0 + 4y = 13 + 9
4y = 13 + 9

Combine like terms: 13 + 9 = 22
4y = 22

Divide each side by '4'.
y = 5.5

Simplifying
y = 5.5

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