4y-2=9y+33

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Solution for 4y-2=9y+33 equation:


Simplifying
4y + -2 = 9y + 33

Reorder the terms:
-2 + 4y = 9y + 33

Reorder the terms:
-2 + 4y = 33 + 9y

Solving
-2 + 4y = 33 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-2 + 4y + -9y = 33 + 9y + -9y

Combine like terms: 4y + -9y = -5y
-2 + -5y = 33 + 9y + -9y

Combine like terms: 9y + -9y = 0
-2 + -5y = 33 + 0
-2 + -5y = 33

Add '2' to each side of the equation.
-2 + 2 + -5y = 33 + 2

Combine like terms: -2 + 2 = 0
0 + -5y = 33 + 2
-5y = 33 + 2

Combine like terms: 33 + 2 = 35
-5y = 35

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

Simplifying
y = -7

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