.333(y+8)+8=.166(9y-24)-4

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Solution for .333(y+8)+8=.166(9y-24)-4 equation: 


Simplifying
0.333(y + 8) + 8 = 0.166(9y + -24) + -4

Reorder the terms:
0.333(8 + y) + 8 = 0.166(9y + -24) + -4
(8 * 0.333 + y * 0.333) + 8 = 0.166(9y + -24) + -4
(2.664 + 0.333y) + 8 = 0.166(9y + -24) + -4

Reorder the terms:
2.664 + 8 + 0.333y = 0.166(9y + -24) + -4

Combine like terms: 2.664 + 8 = 10.664
10.664 + 0.333y = 0.166(9y + -24) + -4

Reorder the terms:
10.664 + 0.333y = 0.166(-24 + 9y) + -4
10.664 + 0.333y = (-24 * 0.166 + 9y * 0.166) + -4
10.664 + 0.333y = (-3.984 + 1.494y) + -4

Reorder the terms:
10.664 + 0.333y = -3.984 + -4 + 1.494y

Combine like terms: -3.984 + -4 = -7.984
10.664 + 0.333y = -7.984 + 1.494y

Solving
10.664 + 0.333y = -7.984 + 1.494y

Solving for variable 'y'.

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

Add '-1.494y' to each side of the equation.
10.664 + 0.333y + -1.494y = -7.984 + 1.494y + -1.494y

Combine like terms: 0.333y + -1.494y = -1.161y
10.664 + -1.161y = -7.984 + 1.494y + -1.494y

Combine like terms: 1.494y + -1.494y = 0.000
10.664 + -1.161y = -7.984 + 0.000
10.664 + -1.161y = -7.984

Add '-10.664' to each side of the equation.
10.664 + -10.664 + -1.161y = -7.984 + -10.664

Combine like terms: 10.664 + -10.664 = 0.000
0.000 + -1.161y = -7.984 + -10.664
-1.161y = -7.984 + -10.664

Combine like terms: -7.984 + -10.664 = -18.648
-1.161y = -18.648

Divide each side by '-1.161'.
y = 16.0620155

Simplifying
y = 16.0620155

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