0.09(y-6)+0.04y=0.03y-0.50

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Solution for 0.09(y-6)+0.04y=0.03y-0.50 equation: 


Simplifying
0.09(y + -6) + 0.04y = 0.03y + -0.50

Reorder the terms:
0.09(-6 + y) + 0.04y = 0.03y + -0.50
(-6 * 0.09 + y * 0.09) + 0.04y = 0.03y + -0.50
(-0.54 + 0.09y) + 0.04y = 0.03y + -0.50

Combine like terms: 0.09y + 0.04y = 0.13y
-0.54 + 0.13y = 0.03y + -0.50

Reorder the terms:
-0.54 + 0.13y = -0.50 + 0.03y

Solving
-0.54 + 0.13y = -0.50 + 0.03y

Solving for variable 'y'.

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

Add '-0.03y' to each side of the equation.
-0.54 + 0.13y + -0.03y = -0.50 + 0.03y + -0.03y

Combine like terms: 0.13y + -0.03y = 0.1y
-0.54 + 0.1y = -0.50 + 0.03y + -0.03y

Combine like terms: 0.03y + -0.03y = 0.00
-0.54 + 0.1y = -0.50 + 0.00
-0.54 + 0.1y = -0.50

Add '0.54' to each side of the equation.
-0.54 + 0.54 + 0.1y = -0.50 + 0.54

Combine like terms: -0.54 + 0.54 = 0.00
0.00 + 0.1y = -0.50 + 0.54
0.1y = -0.50 + 0.54

Combine like terms: -0.50 + 0.54 = 0.04
0.1y = 0.04

Divide each side by '0.1'.
y = 0.4

Simplifying
y = 0.4

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