2y-6=5y+9

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


Simplifying
2y + -6 = 5y + 9

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

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

Solving
-6 + 2y = 9 + 5y

Solving for variable 'y'.

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

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

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

Combine like terms: 5y + -5y = 0
-6 + -3y = 9 + 0
-6 + -3y = 9

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

Combine like terms: -6 + 6 = 0
0 + -3y = 9 + 6
-3y = 9 + 6

Combine like terms: 9 + 6 = 15
-3y = 15

Divide each side by '-3'.
y = -5

Simplifying
y = -5

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