0.1y+0.4(25-y)=5.5

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Solution for 0.1y+0.4(25-y)=5.5 equation: 


Simplifying
0.1y + 0.4(25 + -1y) = 5.5
0.1y + (25 * 0.4 + -1y * 0.4) = 5.5
0.1y + (10 + -0.4y) = 5.5

Reorder the terms:
10 + 0.1y + -0.4y = 5.5

Combine like terms: 0.1y + -0.4y = -0.3y
10 + -0.3y = 5.5

Solving
10 + -0.3y = 5.5

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + -0.3y = 5.5 + -10

Combine like terms: 10 + -10 = 0
0 + -0.3y = 5.5 + -10
-0.3y = 5.5 + -10

Combine like terms: 5.5 + -10 = -4.5
-0.3y = -4.5

Divide each side by '-0.3'.
y = 15

Simplifying
y = 15

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