2y-5=3y+8

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Solution for 2y-5=3y+8 equation:


Simplifying
2y + -5 = 3y + 8

Reorder the terms:
-5 + 2y = 3y + 8

Reorder the terms:
-5 + 2y = 8 + 3y

Solving
-5 + 2y = 8 + 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 = 8 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-5 + -1y = 8 + 3y + -3y

Combine like terms: 3y + -3y = 0
-5 + -1y = 8 + 0
-5 + -1y = 8

Add '5' to each side of the equation.
-5 + 5 + -1y = 8 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 8 + 5
-1y = 8 + 5

Combine like terms: 8 + 5 = 13
-1y = 13

Divide each side by '-1'.
y = -13

Simplifying
y = -13

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