33=3+5(y-2)

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


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

Reorder the terms:
33 = 3 + 5(-2 + y)
33 = 3 + (-2 * 5 + y * 5)
33 = 3 + (-10 + 5y)

Combine like terms: 3 + -10 = -7
33 = -7 + 5y

Solving
33 = -7 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
33 + -5y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
33 + -5y = -7 + 0
33 + -5y = -7

Add '-33' to each side of the equation.
33 + -33 + -5y = -7 + -33

Combine like terms: 33 + -33 = 0
0 + -5y = -7 + -33
-5y = -7 + -33

Combine like terms: -7 + -33 = -40
-5y = -40

Divide each side by '-5'.
y = 8

Simplifying
y = 8

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