(9y+5)=(6y-2)

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Solution for (9y+5)=(6y-2) equation:


Simplifying
(9y + 5) = (6y + -2)

Reorder the terms:
(5 + 9y) = (6y + -2)

Remove parenthesis around (5 + 9y)
5 + 9y = (6y + -2)

Reorder the terms:
5 + 9y = (-2 + 6y)

Remove parenthesis around (-2 + 6y)
5 + 9y = -2 + 6y

Solving
5 + 9y = -2 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
5 + 9y + -6y = -2 + 6y + -6y

Combine like terms: 9y + -6y = 3y
5 + 3y = -2 + 6y + -6y

Combine like terms: 6y + -6y = 0
5 + 3y = -2 + 0
5 + 3y = -2

Add '-5' to each side of the equation.
5 + -5 + 3y = -2 + -5

Combine like terms: 5 + -5 = 0
0 + 3y = -2 + -5
3y = -2 + -5

Combine like terms: -2 + -5 = -7
3y = -7

Divide each side by '3'.
y = -2.333333333

Simplifying
y = -2.333333333

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