9(y-3)+3(y+4)=33

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Solution for 9(y-3)+3(y+4)=33 equation: 


Simplifying
9(y + -3) + 3(y + 4) = 33

Reorder the terms:
9(-3 + y) + 3(y + 4) = 33
(-3 * 9 + y * 9) + 3(y + 4) = 33
(-27 + 9y) + 3(y + 4) = 33

Reorder the terms:
-27 + 9y + 3(4 + y) = 33
-27 + 9y + (4 * 3 + y * 3) = 33
-27 + 9y + (12 + 3y) = 33

Reorder the terms:
-27 + 12 + 9y + 3y = 33

Combine like terms: -27 + 12 = -15
-15 + 9y + 3y = 33

Combine like terms: 9y + 3y = 12y
-15 + 12y = 33

Solving
-15 + 12y = 33

Solving for variable 'y'.

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

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

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

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

Divide each side by '12'.
y = 4

Simplifying
y = 4

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