6y-18=3y-33

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Solution for 6y-18=3y-33 equation:


Simplifying
6y + -18 = 3y + -33

Reorder the terms:
-18 + 6y = 3y + -33

Reorder the terms:
-18 + 6y = -33 + 3y

Solving
-18 + 6y = -33 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-18 + 6y + -3y = -33 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-18 + 3y = -33 + 3y + -3y

Combine like terms: 3y + -3y = 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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