33=2(y+4)-7y

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Solution for 33=2(y+4)-7y equation: 


Simplifying
33 = 2(y + 4) + -7y

Reorder the terms:
33 = 2(4 + y) + -7y
33 = (4 * 2 + y * 2) + -7y
33 = (8 + 2y) + -7y

Combine like terms: 2y + -7y = -5y
33 = 8 + -5y

Solving
33 = 8 + -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 = 8 + -5y + 5y

Combine like terms: -5y + 5y = 0
33 + 5y = 8 + 0
33 + 5y = 8

Add '-33' to each side of the equation.
33 + -33 + 5y = 8 + -33

Combine like terms: 33 + -33 = 0
0 + 5y = 8 + -33
5y = 8 + -33

Combine like terms: 8 + -33 = -25
5y = -25

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

Simplifying
y = -5

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