.5y+5.5=1.75y-10.75

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Solution for .5y+5.5=1.75y-10.75 equation: 


Simplifying
0.5y + 5.5 = 1.75y + -10.75

Reorder the terms:
5.5 + 0.5y = 1.75y + -10.75

Reorder the terms:
5.5 + 0.5y = -10.75 + 1.75y

Solving
5.5 + 0.5y = -10.75 + 1.75y

Solving for variable 'y'.

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

Add '-1.75y' to each side of the equation.
5.5 + 0.5y + -1.75y = -10.75 + 1.75y + -1.75y

Combine like terms: 0.5y + -1.75y = -1.25y
5.5 + -1.25y = -10.75 + 1.75y + -1.75y

Combine like terms: 1.75y + -1.75y = 0.00
5.5 + -1.25y = -10.75 + 0.00
5.5 + -1.25y = -10.75

Add '-5.5' to each side of the equation.
5.5 + -5.5 + -1.25y = -10.75 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -1.25y = -10.75 + -5.5
-1.25y = -10.75 + -5.5

Combine like terms: -10.75 + -5.5 = -16.25
-1.25y = -16.25

Divide each side by '-1.25'.
y = 13

Simplifying
y = 13

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