.3(5-y)=3(y+4)

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Solution for .3(5-y)=3(y+4) equation: 


Simplifying
0.3(5 + -1y) = 3(y + 4)
(5 * 0.3 + -1y * 0.3) = 3(y + 4)
(1.5 + -0.3y) = 3(y + 4)

Reorder the terms:
1.5 + -0.3y = 3(4 + y)
1.5 + -0.3y = (4 * 3 + y * 3)
1.5 + -0.3y = (12 + 3y)

Solving
1.5 + -0.3y = 12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
1.5 + -0.3y + -3y = 12 + 3y + -3y

Combine like terms: -0.3y + -3y = -3.3y
1.5 + -3.3y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
1.5 + -3.3y = 12 + 0
1.5 + -3.3y = 12

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -3.3y = 12 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -3.3y = 12 + -1.5
-3.3y = 12 + -1.5

Combine like terms: 12 + -1.5 = 10.5
-3.3y = 10.5

Divide each side by '-3.3'.
y = -3.181818182

Simplifying
y = -3.181818182

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