0.13(y-2)+0.16y=0.09y-0.20

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Solution for 0.13(y-2)+0.16y=0.09y-0.20 equation: 


Simplifying
0.13(y + -2) + 0.16y = 0.09y + -0.20

Reorder the terms:
0.13(-2 + y) + 0.16y = 0.09y + -0.20
(-2 * 0.13 + y * 0.13) + 0.16y = 0.09y + -0.20
(-0.26 + 0.13y) + 0.16y = 0.09y + -0.20

Combine like terms: 0.13y + 0.16y = 0.29y
-0.26 + 0.29y = 0.09y + -0.20

Reorder the terms:
-0.26 + 0.29y = -0.20 + 0.09y

Solving
-0.26 + 0.29y = -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.
-0.26 + 0.29y + -0.09y = -0.20 + 0.09y + -0.09y

Combine like terms: 0.29y + -0.09y = 0.2y
-0.26 + 0.2y = -0.20 + 0.09y + -0.09y

Combine like terms: 0.09y + -0.09y = 0.00
-0.26 + 0.2y = -0.20 + 0.00
-0.26 + 0.2y = -0.20

Add '0.26' to each side of the equation.
-0.26 + 0.26 + 0.2y = -0.20 + 0.26

Combine like terms: -0.26 + 0.26 = 0.00
0.00 + 0.2y = -0.20 + 0.26
0.2y = -0.20 + 0.26

Combine like terms: -0.20 + 0.26 = 0.06
0.2y = 0.06

Divide each side by '0.2'.
y = 0.3

Simplifying
y = 0.3

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