0.13(y-4)+0.34y=0.07-0.40

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Solution for 0.13(y-4)+0.34y=0.07-0.40 equation: 


Simplifying
0.13(y + -4) + 0.34y = 0.07 + -0.40

Reorder the terms:
0.13(-4 + y) + 0.34y = 0.07 + -0.40
(-4 * 0.13 + y * 0.13) + 0.34y = 0.07 + -0.40
(-0.52 + 0.13y) + 0.34y = 0.07 + -0.40

Combine like terms: 0.13y + 0.34y = 0.47y
-0.52 + 0.47y = 0.07 + -0.40

Combine like terms: 0.07 + -0.40 = -0.33
-0.52 + 0.47y = -0.33

Solving
-0.52 + 0.47y = -0.33

Solving for variable 'y'.

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

Add '0.52' to each side of the equation.
-0.52 + 0.52 + 0.47y = -0.33 + 0.52

Combine like terms: -0.52 + 0.52 = 0.00
0.00 + 0.47y = -0.33 + 0.52
0.47y = -0.33 + 0.52

Combine like terms: -0.33 + 0.52 = 0.19
0.47y = 0.19

Divide each side by '0.47'.
y = 0.4042553191

Simplifying
y = 0.4042553191

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