5y-8=1.5y+5

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Solution for 5y-8=1.5y+5 equation: 


Simplifying
5y + -8 = 1.5y + 5

Reorder the terms:
-8 + 5y = 1.5y + 5

Reorder the terms:
-8 + 5y = 5 + 1.5y

Solving
-8 + 5y = 5 + 1.5y

Solving for variable 'y'.

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

Add '-1.5y' to each side of the equation.
-8 + 5y + -1.5y = 5 + 1.5y + -1.5y

Combine like terms: 5y + -1.5y = 3.5y
-8 + 3.5y = 5 + 1.5y + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
-8 + 3.5y = 5 + 0.0
-8 + 3.5y = 5

Add '8' to each side of the equation.
-8 + 8 + 3.5y = 5 + 8

Combine like terms: -8 + 8 = 0
0 + 3.5y = 5 + 8
3.5y = 5 + 8

Combine like terms: 5 + 8 = 13
3.5y = 13

Divide each side by '3.5'.
y = 3.714285714

Simplifying
y = 3.714285714

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