y-2.4y+3.8=-5(y-5.8)

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Solution for y-2.4y+3.8=-5(y-5.8) equation:


Simplifying
y + -2.4y + 3.8 = -5(y + -5.8)

Reorder the terms:
3.8 + y + -2.4y = -5(y + -5.8)

Combine like terms: y + -2.4y = -1.4y
3.8 + -1.4y = -5(y + -5.8)

Reorder the terms:
3.8 + -1.4y = -5(-5.8 + y)
3.8 + -1.4y = (-5.8 * -5 + y * -5)
3.8 + -1.4y = (29 + -5y)

Solving
3.8 + -1.4y = 29 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
3.8 + -1.4y + 5y = 29 + -5y + 5y

Combine like terms: -1.4y + 5y = 3.6y
3.8 + 3.6y = 29 + -5y + 5y

Combine like terms: -5y + 5y = 0
3.8 + 3.6y = 29 + 0
3.8 + 3.6y = 29

Add '-3.8' to each side of the equation.
3.8 + -3.8 + 3.6y = 29 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + 3.6y = 29 + -3.8
3.6y = 29 + -3.8

Combine like terms: 29 + -3.8 = 25.2
3.6y = 25.2

Divide each side by '3.6'.
y = 7

Simplifying
y = 7

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