5y-3y+2=-3y-33

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Solution for 5y-3y+2=-3y-33 equation: 


Simplifying
5y + -3y + 2 = -3y + -33

Reorder the terms:
2 + 5y + -3y = -3y + -33

Combine like terms: 5y + -3y = 2y
2 + 2y = -3y + -33

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

Solving
2 + 2y = -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.
2 + 2y + 3y = -33 + -3y + 3y

Combine like terms: 2y + 3y = 5y
2 + 5y = -33 + -3y + 3y

Combine like terms: -3y + 3y = 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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