.09(y-5)+.49y=.08y-.40

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Solution for .09(y-5)+.49y=.08y-.40 equation: 


Simplifying
0.09(y + -5) + 0.49y = 0.08y + -0.40

Reorder the terms:
0.09(-5 + y) + 0.49y = 0.08y + -0.40
(-5 * 0.09 + y * 0.09) + 0.49y = 0.08y + -0.40
(-0.45 + 0.09y) + 0.49y = 0.08y + -0.40

Combine like terms: 0.09y + 0.49y = 0.58y
-0.45 + 0.58y = 0.08y + -0.40

Reorder the terms:
-0.45 + 0.58y = -0.40 + 0.08y

Solving
-0.45 + 0.58y = -0.40 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.45 + 0.58y + -0.08y = -0.40 + 0.08y + -0.08y

Combine like terms: 0.58y + -0.08y = 0.5y
-0.45 + 0.5y = -0.40 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.45 + 0.5y = -0.40 + 0.00
-0.45 + 0.5y = -0.40

Add '0.45' to each side of the equation.
-0.45 + 0.45 + 0.5y = -0.40 + 0.45

Combine like terms: -0.45 + 0.45 = 0.00
0.00 + 0.5y = -0.40 + 0.45
0.5y = -0.40 + 0.45

Combine like terms: -0.40 + 0.45 = 0.05
0.5y = 0.05

Divide each side by '0.5'.
y = 0.1

Simplifying
y = 0.1

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