0.11(y-6)+0.38y=0.09y-0.50

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Solution for 0.11(y-6)+0.38y=0.09y-0.50 equation: 


Simplifying
0.11(y + -6) + 0.38y = 0.09y + -0.50

Reorder the terms:
0.11(-6 + y) + 0.38y = 0.09y + -0.50
(-6 * 0.11 + y * 0.11) + 0.38y = 0.09y + -0.50
(-0.66 + 0.11y) + 0.38y = 0.09y + -0.50

Combine like terms: 0.11y + 0.38y = 0.49y
-0.66 + 0.49y = 0.09y + -0.50

Reorder the terms:
-0.66 + 0.49y = -0.50 + 0.09y

Solving
-0.66 + 0.49y = -0.50 + 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.
-0.66 + 0.49y + -0.09y = -0.50 + 0.09y + -0.09y

Combine like terms: 0.49y + -0.09y = 0.4y
-0.66 + 0.4y = -0.50 + 0.09y + -0.09y

Combine like terms: 0.09y + -0.09y = 0.00
-0.66 + 0.4y = -0.50 + 0.00
-0.66 + 0.4y = -0.50

Add '0.66' to each side of the equation.
-0.66 + 0.66 + 0.4y = -0.50 + 0.66

Combine like terms: -0.66 + 0.66 = 0.00
0.00 + 0.4y = -0.50 + 0.66
0.4y = -0.50 + 0.66

Combine like terms: -0.50 + 0.66 = 0.16
0.4y = 0.16

Divide each side by '0.4'.
y = 0.4

Simplifying
y = 0.4

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