0.9(y-5)+0.45y=0.04y-0.30

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Solution for 0.9(y-5)+0.45y=0.04y-0.30 equation: 


Simplifying
0.9(y + -5) + 0.45y = 0.04y + -0.30

Reorder the terms:
0.9(-5 + y) + 0.45y = 0.04y + -0.30
(-5 * 0.9 + y * 0.9) + 0.45y = 0.04y + -0.30
(-4.5 + 0.9y) + 0.45y = 0.04y + -0.30

Combine like terms: 0.9y + 0.45y = 1.35y
-4.5 + 1.35y = 0.04y + -0.30

Reorder the terms:
-4.5 + 1.35y = -0.30 + 0.04y

Solving
-4.5 + 1.35y = -0.30 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-4.5 + 1.35y + -0.04y = -0.30 + 0.04y + -0.04y

Combine like terms: 1.35y + -0.04y = 1.31y
-4.5 + 1.31y = -0.30 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-4.5 + 1.31y = -0.30 + 0.00
-4.5 + 1.31y = -0.30

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1.31y = -0.30 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1.31y = -0.30 + 4.5
1.31y = -0.30 + 4.5

Combine like terms: -0.30 + 4.5 = 4.2
1.31y = 4.2

Divide each side by '1.31'.
y = 3.20610687

Simplifying
y = 3.20610687

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