5y+9=8y-33

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Solution for 5y+9=8y-33 equation:


Simplifying
5y + 9 = 8y + -33

Reorder the terms:
9 + 5y = 8y + -33

Reorder the terms:
9 + 5y = -33 + 8y

Solving
9 + 5y = -33 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
9 + 5y + -8y = -33 + 8y + -8y

Combine like terms: 5y + -8y = -3y
9 + -3y = -33 + 8y + -8y

Combine like terms: 8y + -8y = 0
9 + -3y = -33 + 0
9 + -3y = -33

Add '-9' to each side of the equation.
9 + -9 + -3y = -33 + -9

Combine like terms: 9 + -9 = 0
0 + -3y = -33 + -9
-3y = -33 + -9

Combine like terms: -33 + -9 = -42
-3y = -42

Divide each side by '-3'.
y = 14

Simplifying
y = 14

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