Y+0.4y+4.2=5.8(y+3)

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Solution for Y+0.4y+4.2=5.8(y+3) equation: 


Simplifying
Y + 0.4y + 4.2 = 5.8(y + 3)

Reorder the terms:
4.2 + Y + 0.4y = 5.8(y + 3)

Reorder the terms:
4.2 + Y + 0.4y = 5.8(3 + y)
4.2 + Y + 0.4y = (3 * 5.8 + y * 5.8)
4.2 + Y + 0.4y = (17.4 + 5.8y)

Solving
4.2 + Y + 0.4y = 17.4 + 5.8y

Solving for variable 'Y'.

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

Add '-4.2' to each side of the equation.
4.2 + Y + -4.2 + 0.4y = 17.4 + -4.2 + 5.8y

Reorder the terms:
4.2 + -4.2 + Y + 0.4y = 17.4 + -4.2 + 5.8y

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + Y + 0.4y = 17.4 + -4.2 + 5.8y
Y + 0.4y = 17.4 + -4.2 + 5.8y

Combine like terms: 17.4 + -4.2 = 13.2
Y + 0.4y = 13.2 + 5.8y

Add '-0.4y' to each side of the equation.
Y + 0.4y + -0.4y = 13.2 + 5.8y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
Y + 0.0 = 13.2 + 5.8y + -0.4y
Y = 13.2 + 5.8y + -0.4y

Combine like terms: 5.8y + -0.4y = 5.4y
Y = 13.2 + 5.4y

Simplifying
Y = 13.2 + 5.4y

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