1.3y-2.7=0.5y+3.78

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Solution for 1.3y-2.7=0.5y+3.78 equation: 


Simplifying
1.3y + -2.7 = 0.5y + 3.78

Reorder the terms:
-2.7 + 1.3y = 0.5y + 3.78

Reorder the terms:
-2.7 + 1.3y = 3.78 + 0.5y

Solving
-2.7 + 1.3y = 3.78 + 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.
-2.7 + 1.3y + -0.5y = 3.78 + 0.5y + -0.5y

Combine like terms: 1.3y + -0.5y = 0.8y
-2.7 + 0.8y = 3.78 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
-2.7 + 0.8y = 3.78 + 0.0
-2.7 + 0.8y = 3.78

Add '2.7' to each side of the equation.
-2.7 + 2.7 + 0.8y = 3.78 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + 0.8y = 3.78 + 2.7
0.8y = 3.78 + 2.7

Combine like terms: 3.78 + 2.7 = 6.48
0.8y = 6.48

Divide each side by '0.8'.
y = 8.1

Simplifying
y = 8.1

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