(7y+33)=(3y-3)

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Solution for (7y+33)=(3y-3) equation:


Simplifying
(7y + 33) = (3y + -3)

Reorder the terms:
(33 + 7y) = (3y + -3)

Remove parenthesis around (33 + 7y)
33 + 7y = (3y + -3)

Reorder the terms:
33 + 7y = (-3 + 3y)

Remove parenthesis around (-3 + 3y)
33 + 7y = -3 + 3y

Solving
33 + 7y = -3 + 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.
33 + 7y + -3y = -3 + 3y + -3y

Combine like terms: 7y + -3y = 4y
33 + 4y = -3 + 3y + -3y

Combine like terms: 3y + -3y = 0
33 + 4y = -3 + 0
33 + 4y = -3

Add '-33' to each side of the equation.
33 + -33 + 4y = -3 + -33

Combine like terms: 33 + -33 = 0
0 + 4y = -3 + -33
4y = -3 + -33

Combine like terms: -3 + -33 = -36
4y = -36

Divide each side by '4'.
y = -9

Simplifying
y = -9

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