2y-5=3y-3

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


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

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

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

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

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

Combine like terms: 3y + -3y = 0
-5 + -1y = -3 + 0
-5 + -1y = -3

Add '5' to each side of the equation.
-5 + 5 + -1y = -3 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = -3 + 5
-1y = -3 + 5

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

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

Simplifying
y = -2

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