(6y-9)=(3y+7)

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Solution for (6y-9)=(3y+7) equation:


Simplifying
(6y + -9) = (3y + 7)

Reorder the terms:
(-9 + 6y) = (3y + 7)

Remove parenthesis around (-9 + 6y)
-9 + 6y = (3y + 7)

Reorder the terms:
-9 + 6y = (7 + 3y)

Remove parenthesis around (7 + 3y)
-9 + 6y = 7 + 3y

Solving
-9 + 6y = 7 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-9 + 6y + -3y = 7 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-9 + 3y = 7 + 3y + -3y

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

Add '9' to each side of the equation.
-9 + 9 + 3y = 7 + 9

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

Combine like terms: 7 + 9 = 16
3y = 16

Divide each side by '3'.
y = 5.333333333

Simplifying
y = 5.333333333

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