0.13(y-4)+0.20y=0.03y-0.40

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Solution for 0.13(y-4)+0.20y=0.03y-0.40 equation: 


Simplifying
0.13(y + -4) + 0.20y = 0.03y + -0.40

Reorder the terms:
0.13(-4 + y) + 0.20y = 0.03y + -0.40
(-4 * 0.13 + y * 0.13) + 0.20y = 0.03y + -0.40
(-0.52 + 0.13y) + 0.20y = 0.03y + -0.40

Combine like terms: 0.13y + 0.20y = 0.33y
-0.52 + 0.33y = 0.03y + -0.40

Reorder the terms:
-0.52 + 0.33y = -0.40 + 0.03y

Solving
-0.52 + 0.33y = -0.40 + 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.
-0.52 + 0.33y + -0.03y = -0.40 + 0.03y + -0.03y

Combine like terms: 0.33y + -0.03y = 0.3y
-0.52 + 0.3y = -0.40 + 0.03y + -0.03y

Combine like terms: 0.03y + -0.03y = 0.00
-0.52 + 0.3y = -0.40 + 0.00
-0.52 + 0.3y = -0.40

Add '0.52' to each side of the equation.
-0.52 + 0.52 + 0.3y = -0.40 + 0.52

Combine like terms: -0.52 + 0.52 = 0.00
0.00 + 0.3y = -0.40 + 0.52
0.3y = -0.40 + 0.52

Combine like terms: -0.40 + 0.52 = 0.12
0.3y = 0.12

Divide each side by '0.3'.
y = 0.4

Simplifying
y = 0.4

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