2y-7=12y+33

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Solution for 2y-7=12y+33 equation:


Simplifying
2y + -7 = 12y + 33

Reorder the terms:
-7 + 2y = 12y + 33

Reorder the terms:
-7 + 2y = 33 + 12y

Solving
-7 + 2y = 33 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-7 + 2y + -12y = 33 + 12y + -12y

Combine like terms: 2y + -12y = -10y
-7 + -10y = 33 + 12y + -12y

Combine like terms: 12y + -12y = 0
-7 + -10y = 33 + 0
-7 + -10y = 33

Add '7' to each side of the equation.
-7 + 7 + -10y = 33 + 7

Combine like terms: -7 + 7 = 0
0 + -10y = 33 + 7
-10y = 33 + 7

Combine like terms: 33 + 7 = 40
-10y = 40

Divide each side by '-10'.
y = -4

Simplifying
y = -4

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