0.5y-4.5=0.1y-2.8

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Solution for 0.5y-4.5=0.1y-2.8 equation: 


Simplifying
0.5y + -4.5 = 0.1y + -2.8

Reorder the terms:
-4.5 + 0.5y = 0.1y + -2.8

Reorder the terms:
-4.5 + 0.5y = -2.8 + 0.1y

Solving
-4.5 + 0.5y = -2.8 + 0.1y

Solving for variable 'y'.

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

Add '-0.1y' to each side of the equation.
-4.5 + 0.5y + -0.1y = -2.8 + 0.1y + -0.1y

Combine like terms: 0.5y + -0.1y = 0.4y
-4.5 + 0.4y = -2.8 + 0.1y + -0.1y

Combine like terms: 0.1y + -0.1y = 0.0
-4.5 + 0.4y = -2.8 + 0.0
-4.5 + 0.4y = -2.8

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 0.4y = -2.8 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 0.4y = -2.8 + 4.5
0.4y = -2.8 + 4.5

Combine like terms: -2.8 + 4.5 = 1.7
0.4y = 1.7

Divide each side by '0.4'.
y = 4.25

Simplifying
y = 4.25

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