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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