.2(.4y+.3)=.5(.3y)+.41

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Solution for .2(.4y+.3)=.5(.3y)+.41 equation:


Simplifying
0.2(0.4y + 0.3) = 0.5(0.3y) + 0.41

Reorder the terms:
0.2(0.3 + 0.4y) = 0.5(0.3y) + 0.41
(0.3 * 0.2 + 0.4y * 0.2) = 0.5(0.3y) + 0.41
(0.06 + 0.08y) = 0.5(0.3y) + 0.41

Remove parenthesis around (0.3y)
0.06 + 0.08y = 0.5 * 0.3y + 0.41

Multiply 0.5 * 0.3
0.06 + 0.08y = 0.15y + 0.41

Reorder the terms:
0.06 + 0.08y = 0.41 + 0.15y

Solving
0.06 + 0.08y = 0.41 + 0.15y

Solving for variable 'y'.

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

Add '-0.15y' to each side of the equation.
0.06 + 0.08y + -0.15y = 0.41 + 0.15y + -0.15y

Combine like terms: 0.08y + -0.15y = -0.07y
0.06 + -0.07y = 0.41 + 0.15y + -0.15y

Combine like terms: 0.15y + -0.15y = 0.00
0.06 + -0.07y = 0.41 + 0.00
0.06 + -0.07y = 0.41

Add '-0.06' to each side of the equation.
0.06 + -0.06 + -0.07y = 0.41 + -0.06

Combine like terms: 0.06 + -0.06 = 0.00
0.00 + -0.07y = 0.41 + -0.06
-0.07y = 0.41 + -0.06

Combine like terms: 0.41 + -0.06 = 0.35
-0.07y = 0.35

Divide each side by '-0.07'.
y = -5

Simplifying
y = -5

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