6y+3(y-4)=33

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Solution for 6y+3(y-4)=33 equation:


Simplifying
6y + 3(y + -4) = 33

Reorder the terms:
6y + 3(-4 + y) = 33
6y + (-4 * 3 + y * 3) = 33
6y + (-12 + 3y) = 33

Reorder the terms:
-12 + 6y + 3y = 33

Combine like terms: 6y + 3y = 9y
-12 + 9y = 33

Solving
-12 + 9y = 33

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 9y = 33 + 12

Combine like terms: -12 + 12 = 0
0 + 9y = 33 + 12
9y = 33 + 12

Combine like terms: 33 + 12 = 45
9y = 45

Divide each side by '9'.
y = 5

Simplifying
y = 5

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