2y+9=5y-24

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Solution for 2y+9=5y-24 equation:


Simplifying
2y + 9 = 5y + -24

Reorder the terms:
9 + 2y = 5y + -24

Reorder the terms:
9 + 2y = -24 + 5y

Solving
9 + 2y = -24 + 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.
9 + 2y + -5y = -24 + 5y + -5y

Combine like terms: 2y + -5y = -3y
9 + -3y = -24 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -3y = -24 + 0
9 + -3y = -24

Add '-9' to each side of the equation.
9 + -9 + -3y = -24 + -9

Combine like terms: 9 + -9 = 0
0 + -3y = -24 + -9
-3y = -24 + -9

Combine like terms: -24 + -9 = -33
-3y = -33

Divide each side by '-3'.
y = 11

Simplifying
y = 11

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