.33(y+8)+8=.66(9y-24)-4

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Solution for .33(y+8)+8=.66(9y-24)-4 equation: 


Simplifying
0.33(y + 8) + 8 = 0.66(9y + -24) + -4

Reorder the terms:
0.33(8 + y) + 8 = 0.66(9y + -24) + -4
(8 * 0.33 + y * 0.33) + 8 = 0.66(9y + -24) + -4
(2.64 + 0.33y) + 8 = 0.66(9y + -24) + -4

Reorder the terms:
2.64 + 8 + 0.33y = 0.66(9y + -24) + -4

Combine like terms: 2.64 + 8 = 10.64
10.64 + 0.33y = 0.66(9y + -24) + -4

Reorder the terms:
10.64 + 0.33y = 0.66(-24 + 9y) + -4
10.64 + 0.33y = (-24 * 0.66 + 9y * 0.66) + -4
10.64 + 0.33y = (-15.84 + 5.94y) + -4

Reorder the terms:
10.64 + 0.33y = -15.84 + -4 + 5.94y

Combine like terms: -15.84 + -4 = -19.84
10.64 + 0.33y = -19.84 + 5.94y

Solving
10.64 + 0.33y = -19.84 + 5.94y

Solving for variable 'y'.

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

Add '-5.94y' to each side of the equation.
10.64 + 0.33y + -5.94y = -19.84 + 5.94y + -5.94y

Combine like terms: 0.33y + -5.94y = -5.61y
10.64 + -5.61y = -19.84 + 5.94y + -5.94y

Combine like terms: 5.94y + -5.94y = 0.00
10.64 + -5.61y = -19.84 + 0.00
10.64 + -5.61y = -19.84

Add '-10.64' to each side of the equation.
10.64 + -10.64 + -5.61y = -19.84 + -10.64

Combine like terms: 10.64 + -10.64 = 0.00
0.00 + -5.61y = -19.84 + -10.64
-5.61y = -19.84 + -10.64

Combine like terms: -19.84 + -10.64 = -30.48
-5.61y = -30.48

Divide each side by '-5.61'.
y = 5.43315508

Simplifying
y = 5.43315508

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