0.09(y-5)+0.05y=0.09y-0.20

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Solution for 0.09(y-5)+0.05y=0.09y-0.20 equation: 


Simplifying
0.09(y + -5) + 0.05y = 0.09y + -0.20

Reorder the terms:
0.09(-5 + y) + 0.05y = 0.09y + -0.20
(-5 * 0.09 + y * 0.09) + 0.05y = 0.09y + -0.20
(-0.45 + 0.09y) + 0.05y = 0.09y + -0.20

Combine like terms: 0.09y + 0.05y = 0.14y
-0.45 + 0.14y = 0.09y + -0.20

Reorder the terms:
-0.45 + 0.14y = -0.20 + 0.09y

Solving
-0.45 + 0.14y = -0.20 + 0.09y

Solving for variable 'y'.

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

Add '-0.09y' to each side of the equation.
-0.45 + 0.14y + -0.09y = -0.20 + 0.09y + -0.09y

Combine like terms: 0.14y + -0.09y = 0.05y
-0.45 + 0.05y = -0.20 + 0.09y + -0.09y

Combine like terms: 0.09y + -0.09y = 0.00
-0.45 + 0.05y = -0.20 + 0.00
-0.45 + 0.05y = -0.20

Add '0.45' to each side of the equation.
-0.45 + 0.45 + 0.05y = -0.20 + 0.45

Combine like terms: -0.45 + 0.45 = 0.00
0.00 + 0.05y = -0.20 + 0.45
0.05y = -0.20 + 0.45

Combine like terms: -0.20 + 0.45 = 0.25
0.05y = 0.25

Divide each side by '0.05'.
y = 5

Simplifying
y = 5

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