y+0.1y+0.4=(y+4)

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Solution for y+0.1y+0.4=(y+4) equation:


Simplifying
y + 0.1y + 0.4 = (y + 4)

Reorder the terms:
0.4 + y + 0.1y = (y + 4)

Combine like terms: y + 0.1y = 1.1y
0.4 + 1.1y = (y + 4)

Reorder the terms:
0.4 + 1.1y = (4 + y)

Remove parenthesis around (4 + y)
0.4 + 1.1y = 4 + y

Solving
0.4 + 1.1y = 4 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
0.4 + 1.1y + -1y = 4 + y + -1y

Combine like terms: 1.1y + -1y = 0.1y
0.4 + 0.1y = 4 + y + -1y

Combine like terms: y + -1y = 0
0.4 + 0.1y = 4 + 0
0.4 + 0.1y = 4

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.1y = 4 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.1y = 4 + -0.4
0.1y = 4 + -0.4

Combine like terms: 4 + -0.4 = 3.6
0.1y = 3.6

Divide each side by '0.1'.
y = 36

Simplifying
y = 36

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