0.3333(y-6)=4y-0.4(2-y)

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Solution for 0.3333(y-6)=4y-0.4(2-y) equation:


Simplifying
0.3333(y + -6) = 4y + -0.4(2 + -1y)

Reorder the terms:
0.3333(-6 + y) = 4y + -0.4(2 + -1y)
(-6 * 0.3333 + y * 0.3333) = 4y + -0.4(2 + -1y)
(-1.9998 + 0.3333y) = 4y + -0.4(2 + -1y)
-1.9998 + 0.3333y = 4y + (2 * -0.4 + -1y * -0.4)
-1.9998 + 0.3333y = 4y + (-0.8 + 0.4y)

Reorder the terms:
-1.9998 + 0.3333y = -0.8 + 4y + 0.4y

Combine like terms: 4y + 0.4y = 4.4y
-1.9998 + 0.3333y = -0.8 + 4.4y

Solving
-1.9998 + 0.3333y = -0.8 + 4.4y

Solving for variable 'y'.

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

Add '-4.4y' to each side of the equation.
-1.9998 + 0.3333y + -4.4y = -0.8 + 4.4y + -4.4y

Combine like terms: 0.3333y + -4.4y = -4.0667y
-1.9998 + -4.0667y = -0.8 + 4.4y + -4.4y

Combine like terms: 4.4y + -4.4y = 0.0
-1.9998 + -4.0667y = -0.8 + 0.0
-1.9998 + -4.0667y = -0.8

Add '1.9998' to each side of the equation.
-1.9998 + 1.9998 + -4.0667y = -0.8 + 1.9998

Combine like terms: -1.9998 + 1.9998 = 0.0000
0.0000 + -4.0667y = -0.8 + 1.9998
-4.0667y = -0.8 + 1.9998

Combine like terms: -0.8 + 1.9998 = 1.1998
-4.0667y = 1.1998

Divide each side by '-4.0667'.
y = -0.2950303686

Simplifying
y = -0.2950303686

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