2y-3=14y+33

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Solution for 2y-3=14y+33 equation:


Simplifying
2y + -3 = 14y + 33

Reorder the terms:
-3 + 2y = 14y + 33

Reorder the terms:
-3 + 2y = 33 + 14y

Solving
-3 + 2y = 33 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-3 + 2y + -14y = 33 + 14y + -14y

Combine like terms: 2y + -14y = -12y
-3 + -12y = 33 + 14y + -14y

Combine like terms: 14y + -14y = 0
-3 + -12y = 33 + 0
-3 + -12y = 33

Add '3' to each side of the equation.
-3 + 3 + -12y = 33 + 3

Combine like terms: -3 + 3 = 0
0 + -12y = 33 + 3
-12y = 33 + 3

Combine like terms: 33 + 3 = 36
-12y = 36

Divide each side by '-12'.
y = -3

Simplifying
y = -3

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