7y-9(y+3)=33

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Solution for 7y-9(y+3)=33 equation:


Simplifying
7y + -9(y + 3) = 33

Reorder the terms:
7y + -9(3 + y) = 33
7y + (3 * -9 + y * -9) = 33
7y + (-27 + -9y) = 33

Reorder the terms:
-27 + 7y + -9y = 33

Combine like terms: 7y + -9y = -2y
-27 + -2y = 33

Solving
-27 + -2y = 33

Solving for variable 'y'.

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

Add '27' to each side of the equation.
-27 + 27 + -2y = 33 + 27

Combine like terms: -27 + 27 = 0
0 + -2y = 33 + 27
-2y = 33 + 27

Combine like terms: 33 + 27 = 60
-2y = 60

Divide each side by '-2'.
y = -30

Simplifying
y = -30

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