0.8(y-6)+0.12y=0.20y-0.9

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Solution for 0.8(y-6)+0.12y=0.20y-0.9 equation: 


Simplifying
0.8(y + -6) + 0.12y = 0.20y + -0.9

Reorder the terms:
0.8(-6 + y) + 0.12y = 0.20y + -0.9
(-6 * 0.8 + y * 0.8) + 0.12y = 0.20y + -0.9
(-4.8 + 0.8y) + 0.12y = 0.20y + -0.9

Combine like terms: 0.8y + 0.12y = 0.92y
-4.8 + 0.92y = 0.20y + -0.9

Reorder the terms:
-4.8 + 0.92y = -0.9 + 0.20y

Solving
-4.8 + 0.92y = -0.9 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-4.8 + 0.92y + -0.20y = -0.9 + 0.20y + -0.20y

Combine like terms: 0.92y + -0.20y = 0.72y
-4.8 + 0.72y = -0.9 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-4.8 + 0.72y = -0.9 + 0.00
-4.8 + 0.72y = -0.9

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 0.72y = -0.9 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 0.72y = -0.9 + 4.8
0.72y = -0.9 + 4.8

Combine like terms: -0.9 + 4.8 = 3.9
0.72y = 3.9

Divide each side by '0.72'.
y = 5.416666667

Simplifying
y = 5.416666667

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