0.5(y-3)=.3333(y-3)

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Solution for 0.5(y-3)=.3333(y-3) equation: 


Simplifying
0.5(y + -3) = 0.3333(y + -3)

Reorder the terms:
0.5(-3 + y) = 0.3333(y + -3)
(-3 * 0.5 + y * 0.5) = 0.3333(y + -3)
(-1.5 + 0.5y) = 0.3333(y + -3)

Reorder the terms:
-1.5 + 0.5y = 0.3333(-3 + y)
-1.5 + 0.5y = (-3 * 0.3333 + y * 0.3333)
-1.5 + 0.5y = (-0.9999 + 0.3333y)

Solving
-1.5 + 0.5y = -0.9999 + 0.3333y

Solving for variable 'y'.

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

Add '-0.3333y' to each side of the equation.
-1.5 + 0.5y + -0.3333y = -0.9999 + 0.3333y + -0.3333y

Combine like terms: 0.5y + -0.3333y = 0.1667y
-1.5 + 0.1667y = -0.9999 + 0.3333y + -0.3333y

Combine like terms: 0.3333y + -0.3333y = 0.0000
-1.5 + 0.1667y = -0.9999 + 0.0000
-1.5 + 0.1667y = -0.9999

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.1667y = -0.9999 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.1667y = -0.9999 + 1.5
0.1667y = -0.9999 + 1.5

Combine like terms: -0.9999 + 1.5 = 0.5001
0.1667y = 0.5001

Divide each side by '0.1667'.
y = 3

Simplifying
y = 3

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