33=7y+5(y-3)

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Solution for 33=7y+5(y-3) equation: 


Simplifying
33 = 7y + 5(y + -3)

Reorder the terms:
33 = 7y + 5(-3 + y)
33 = 7y + (-3 * 5 + y * 5)
33 = 7y + (-15 + 5y)

Reorder the terms:
33 = -15 + 7y + 5y

Combine like terms: 7y + 5y = 12y
33 = -15 + 12y

Solving
33 = -15 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
33 + -12y = -15 + 12y + -12y

Combine like terms: 12y + -12y = 0
33 + -12y = -15 + 0
33 + -12y = -15

Add '-33' to each side of the equation.
33 + -33 + -12y = -15 + -33

Combine like terms: 33 + -33 = 0
0 + -12y = -15 + -33
-12y = -15 + -33

Combine like terms: -15 + -33 = -48
-12y = -48

Divide each side by '-12'.
y = 4

Simplifying
y = 4

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