1.25y-20.5=0.5y-11.5

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Solution for 1.25y-20.5=0.5y-11.5 equation: 


Simplifying
1.25y + -20.5 = 0.5y + -11.5

Reorder the terms:
-20.5 + 1.25y = 0.5y + -11.5

Reorder the terms:
-20.5 + 1.25y = -11.5 + 0.5y

Solving
-20.5 + 1.25y = -11.5 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
-20.5 + 1.25y + -0.5y = -11.5 + 0.5y + -0.5y

Combine like terms: 1.25y + -0.5y = 0.75y
-20.5 + 0.75y = -11.5 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
-20.5 + 0.75y = -11.5 + 0.0
-20.5 + 0.75y = -11.5

Add '20.5' to each side of the equation.
-20.5 + 20.5 + 0.75y = -11.5 + 20.5

Combine like terms: -20.5 + 20.5 = 0.0
0.0 + 0.75y = -11.5 + 20.5
0.75y = -11.5 + 20.5

Combine like terms: -11.5 + 20.5 = 9
0.75y = 9

Divide each side by '0.75'.
y = 12

Simplifying
y = 12

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