33=3(y-5)-5y

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Solution for 33=3(y-5)-5y equation: 


Simplifying
33 = 3(y + -5) + -5y

Reorder the terms:
33 = 3(-5 + y) + -5y
33 = (-5 * 3 + y * 3) + -5y
33 = (-15 + 3y) + -5y

Combine like terms: 3y + -5y = -2y
33 = -15 + -2y

Solving
33 = -15 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
33 + 2y = -15 + -2y + 2y

Combine like terms: -2y + 2y = 0
33 + 2y = -15 + 0
33 + 2y = -15

Add '-33' to each side of the equation.
33 + -33 + 2y = -15 + -33

Combine like terms: 33 + -33 = 0
0 + 2y = -15 + -33
2y = -15 + -33

Combine like terms: -15 + -33 = -48
2y = -48

Divide each side by '2'.
y = -24

Simplifying
y = -24

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