5y-.5=3y-2.5

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Solution for 5y-.5=3y-2.5 equation:


Simplifying
5y + -0.5 = 3y + -2.5

Reorder the terms:
-0.5 + 5y = 3y + -2.5

Reorder the terms:
-0.5 + 5y = -2.5 + 3y

Solving
-0.5 + 5y = -2.5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-0.5 + 5y + -3y = -2.5 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-0.5 + 2y = -2.5 + 3y + -3y

Combine like terms: 3y + -3y = 0
-0.5 + 2y = -2.5 + 0
-0.5 + 2y = -2.5

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 2y = -2.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 2y = -2.5 + 0.5
2y = -2.5 + 0.5

Combine like terms: -2.5 + 0.5 = -2
2y = -2

Divide each side by '2'.
y = -1

Simplifying
y = -1

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