y+3.8=0.4(y+5)

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Solution for y+3.8=0.4(y+5) equation: 


Simplifying
y + 3.8 = 0.4(y + 5)

Reorder the terms:
3.8 + y = 0.4(y + 5)

Reorder the terms:
3.8 + y = 0.4(5 + y)
3.8 + y = (5 * 0.4 + y * 0.4)
3.8 + y = (2 + 0.4y)

Solving
3.8 + y = 2 + 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
3.8 + y + -0.4y = 2 + 0.4y + -0.4y

Combine like terms: y + -0.4y = 0.6y
3.8 + 0.6y = 2 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
3.8 + 0.6y = 2 + 0.0
3.8 + 0.6y = 2

Add '-3.8' to each side of the equation.
3.8 + -3.8 + 0.6y = 2 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + 0.6y = 2 + -3.8
0.6y = 2 + -3.8

Combine like terms: 2 + -3.8 = -1.8
0.6y = -1.8

Divide each side by '0.6'.
y = -3

Simplifying
y = -3

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