2(y-9)=5y-33

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Solution for 2(y-9)=5y-33 equation: 


Simplifying
2(y + -9) = 5y + -33

Reorder the terms:
2(-9 + y) = 5y + -33
(-9 * 2 + y * 2) = 5y + -33
(-18 + 2y) = 5y + -33

Reorder the terms:
-18 + 2y = -33 + 5y

Solving
-18 + 2y = -33 + 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.
-18 + 2y + -5y = -33 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-18 + -3y = -33 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + -3y = -33 + 0
-18 + -3y = -33

Add '18' to each side of the equation.
-18 + 18 + -3y = -33 + 18

Combine like terms: -18 + 18 = 0
0 + -3y = -33 + 18
-3y = -33 + 18

Combine like terms: -33 + 18 = -15
-3y = -15

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

Simplifying
y = 5

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