6(3.5y-5.5)=20.5+9y

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Solution for 6(3.5y-5.5)=20.5+9y equation:


Simplifying
6(3.5y + -5.5) = 20.5 + 9y

Reorder the terms:
6(-5.5 + 3.5y) = 20.5 + 9y
(-5.5 * 6 + 3.5y * 6) = 20.5 + 9y
(-33 + 21y) = 20.5 + 9y

Solving
-33 + 21y = 20.5 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-33 + 21y + -9y = 20.5 + 9y + -9y

Combine like terms: 21y + -9y = 12y
-33 + 12y = 20.5 + 9y + -9y

Combine like terms: 9y + -9y = 0
-33 + 12y = 20.5 + 0
-33 + 12y = 20.5

Add '33' to each side of the equation.
-33 + 33 + 12y = 20.5 + 33

Combine like terms: -33 + 33 = 0
0 + 12y = 20.5 + 33
12y = 20.5 + 33

Combine like terms: 20.5 + 33 = 53.5
12y = 53.5

Divide each side by '12'.
y = 4.458333333

Simplifying
y = 4.458333333

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