0.5y+3.5=6y-24

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Solution for 0.5y+3.5=6y-24 equation: 


Simplifying
0.5y + 3.5 = 6y + -24

Reorder the terms:
3.5 + 0.5y = 6y + -24

Reorder the terms:
3.5 + 0.5y = -24 + 6y

Solving
3.5 + 0.5y = -24 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
3.5 + 0.5y + -6y = -24 + 6y + -6y

Combine like terms: 0.5y + -6y = -5.5y
3.5 + -5.5y = -24 + 6y + -6y

Combine like terms: 6y + -6y = 0
3.5 + -5.5y = -24 + 0
3.5 + -5.5y = -24

Add '-3.5' to each side of the equation.
3.5 + -3.5 + -5.5y = -24 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -5.5y = -24 + -3.5
-5.5y = -24 + -3.5

Combine like terms: -24 + -3.5 = -27.5
-5.5y = -27.5

Divide each side by '-5.5'.
y = 5

Simplifying
y = 5

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