y+2.4y+3.2=6.5(y-3.8)

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Solution for y+2.4y+3.2=6.5(y-3.8) equation:


Simplifying
y + 2.4y + 3.2 = 6.5(y + -3.8)

Reorder the terms:
3.2 + y + 2.4y = 6.5(y + -3.8)

Combine like terms: y + 2.4y = 3.4y
3.2 + 3.4y = 6.5(y + -3.8)

Reorder the terms:
3.2 + 3.4y = 6.5(-3.8 + y)
3.2 + 3.4y = (-3.8 * 6.5 + y * 6.5)
3.2 + 3.4y = (-24.7 + 6.5y)

Solving
3.2 + 3.4y = -24.7 + 6.5y

Solving for variable 'y'.

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

Add '-6.5y' to each side of the equation.
3.2 + 3.4y + -6.5y = -24.7 + 6.5y + -6.5y

Combine like terms: 3.4y + -6.5y = -3.1y
3.2 + -3.1y = -24.7 + 6.5y + -6.5y

Combine like terms: 6.5y + -6.5y = 0.0
3.2 + -3.1y = -24.7 + 0.0
3.2 + -3.1y = -24.7

Add '-3.2' to each side of the equation.
3.2 + -3.2 + -3.1y = -24.7 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -3.1y = -24.7 + -3.2
-3.1y = -24.7 + -3.2

Combine like terms: -24.7 + -3.2 = -27.9
-3.1y = -27.9

Divide each side by '-3.1'.
y = 9

Simplifying
y = 9

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