5y-1=3y-2

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Solution for 5y-1=3y-2 equation:


Simplifying
5y + -1 = 3y + -2

Reorder the terms:
-1 + 5y = 3y + -2

Reorder the terms:
-1 + 5y = -2 + 3y

Solving
-1 + 5y = -2 + 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.
-1 + 5y + -3y = -2 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-1 + 2y = -2 + 3y + -3y

Combine like terms: 3y + -3y = 0
-1 + 2y = -2 + 0
-1 + 2y = -2

Add '1' to each side of the equation.
-1 + 1 + 2y = -2 + 1

Combine like terms: -1 + 1 = 0
0 + 2y = -2 + 1
2y = -2 + 1

Combine like terms: -2 + 1 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5

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