0.8(y-6)+.20y=0.12y-1.8

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Solution for 0.8(y-6)+.20y=0.12y-1.8 equation: 


Simplifying
0.8(y + -6) + 0.20y = 0.12y + -1.8

Reorder the terms:
0.8(-6 + y) + 0.20y = 0.12y + -1.8
(-6 * 0.8 + y * 0.8) + 0.20y = 0.12y + -1.8
(-4.8 + 0.8y) + 0.20y = 0.12y + -1.8

Combine like terms: 0.8y + 0.20y = 1y
-4.8 + 1y = 0.12y + -1.8

Reorder the terms:
-4.8 + 1y = -1.8 + 0.12y

Solving
-4.8 + 1y = -1.8 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-4.8 + 1y + -0.12y = -1.8 + 0.12y + -0.12y

Combine like terms: 1y + -0.12y = 0.88y
-4.8 + 0.88y = -1.8 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-4.8 + 0.88y = -1.8 + 0.00
-4.8 + 0.88y = -1.8

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 0.88y = -1.8 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 0.88y = -1.8 + 4.8
0.88y = -1.8 + 4.8

Combine like terms: -1.8 + 4.8 = 3
0.88y = 3

Divide each side by '0.88'.
y = 3.409090909

Simplifying
y = 3.409090909

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