0.5y-10=4.5y-65

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Solution for 0.5y-10=4.5y-65 equation: 


Simplifying
0.5y + -10 = 4.5y + -65

Reorder the terms:
-10 + 0.5y = 4.5y + -65

Reorder the terms:
-10 + 0.5y = -65 + 4.5y

Solving
-10 + 0.5y = -65 + 4.5y

Solving for variable 'y'.

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

Add '-4.5y' to each side of the equation.
-10 + 0.5y + -4.5y = -65 + 4.5y + -4.5y

Combine like terms: 0.5y + -4.5y = -4y
-10 + -4y = -65 + 4.5y + -4.5y

Combine like terms: 4.5y + -4.5y = 0.0
-10 + -4y = -65 + 0.0
-10 + -4y = -65

Add '10' to each side of the equation.
-10 + 10 + -4y = -65 + 10

Combine like terms: -10 + 10 = 0
0 + -4y = -65 + 10
-4y = -65 + 10

Combine like terms: -65 + 10 = -55
-4y = -55

Divide each side by '-4'.
y = 13.75

Simplifying
y = 13.75

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