2y-3=5y-6

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Solution for 2y-3=5y-6 equation:


Simplifying
2y + -3 = 5y + -6

Reorder the terms:
-3 + 2y = 5y + -6

Reorder the terms:
-3 + 2y = -6 + 5y

Solving
-3 + 2y = -6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-3 + 2y + -5y = -6 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-3 + -3y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + -3y = -6 + 0
-3 + -3y = -6

Add '3' to each side of the equation.
-3 + 3 + -3y = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -3y = -6 + 3
-3y = -6 + 3

Combine like terms: -6 + 3 = -3
-3y = -3

Divide each side by '-3'.
y = 1

Simplifying
y = 1

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