.333(y+4)+5=.25(3y-1)-2

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Solution for .333(y+4)+5=.25(3y-1)-2 equation: 


Simplifying
0.333(y + 4) + 5 = 0.25(3y + -1) + -2

Reorder the terms:
0.333(4 + y) + 5 = 0.25(3y + -1) + -2
(4 * 0.333 + y * 0.333) + 5 = 0.25(3y + -1) + -2
(1.332 + 0.333y) + 5 = 0.25(3y + -1) + -2

Reorder the terms:
1.332 + 5 + 0.333y = 0.25(3y + -1) + -2

Combine like terms: 1.332 + 5 = 6.332
6.332 + 0.333y = 0.25(3y + -1) + -2

Reorder the terms:
6.332 + 0.333y = 0.25(-1 + 3y) + -2
6.332 + 0.333y = (-1 * 0.25 + 3y * 0.25) + -2
6.332 + 0.333y = (-0.25 + 0.75y) + -2

Reorder the terms:
6.332 + 0.333y = -0.25 + -2 + 0.75y

Combine like terms: -0.25 + -2 = -2.25
6.332 + 0.333y = -2.25 + 0.75y

Solving
6.332 + 0.333y = -2.25 + 0.75y

Solving for variable 'y'.

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

Add '-0.75y' to each side of the equation.
6.332 + 0.333y + -0.75y = -2.25 + 0.75y + -0.75y

Combine like terms: 0.333y + -0.75y = -0.417y
6.332 + -0.417y = -2.25 + 0.75y + -0.75y

Combine like terms: 0.75y + -0.75y = 0.00
6.332 + -0.417y = -2.25 + 0.00
6.332 + -0.417y = -2.25

Add '-6.332' to each side of the equation.
6.332 + -6.332 + -0.417y = -2.25 + -6.332

Combine like terms: 6.332 + -6.332 = 0.000
0.000 + -0.417y = -2.25 + -6.332
-0.417y = -2.25 + -6.332

Combine like terms: -2.25 + -6.332 = -8.582
-0.417y = -8.582

Divide each side by '-0.417'.
y = 20.58033573

Simplifying
y = 20.58033573

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