2y+33=9(y+6)

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Solution for 2y+33=9(y+6) equation:


Simplifying
2y + 33 = 9(y + 6)

Reorder the terms:
33 + 2y = 9(y + 6)

Reorder the terms:
33 + 2y = 9(6 + y)
33 + 2y = (6 * 9 + y * 9)
33 + 2y = (54 + 9y)

Solving
33 + 2y = 54 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
33 + 2y + -9y = 54 + 9y + -9y

Combine like terms: 2y + -9y = -7y
33 + -7y = 54 + 9y + -9y

Combine like terms: 9y + -9y = 0
33 + -7y = 54 + 0
33 + -7y = 54

Add '-33' to each side of the equation.
33 + -33 + -7y = 54 + -33

Combine like terms: 33 + -33 = 0
0 + -7y = 54 + -33
-7y = 54 + -33

Combine like terms: 54 + -33 = 21
-7y = 21

Divide each side by '-7'.
y = -3

Simplifying
y = -3

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