3y-2=10y+33

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Solution for 3y-2=10y+33 equation:


Simplifying
3y + -2 = 10y + 33

Reorder the terms:
-2 + 3y = 10y + 33

Reorder the terms:
-2 + 3y = 33 + 10y

Solving
-2 + 3y = 33 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-2 + 3y + -10y = 33 + 10y + -10y

Combine like terms: 3y + -10y = -7y
-2 + -7y = 33 + 10y + -10y

Combine like terms: 10y + -10y = 0
-2 + -7y = 33 + 0
-2 + -7y = 33

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

Combine like terms: -2 + 2 = 0
0 + -7y = 33 + 2
-7y = 33 + 2

Combine like terms: 33 + 2 = 35
-7y = 35

Divide each side by '-7'.
y = -5

Simplifying
y = -5

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