2y+3=3y-6

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


Simplifying
2y + 3 = 3y + -6

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

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

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

Combine like terms: 2y + -3y = -1y
3 + -1y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
3 + -1y = -6 + 0
3 + -1y = -6

Add '-3' to each side of the equation.
3 + -3 + -1y = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = -6 + -3
-1y = -6 + -3

Combine like terms: -6 + -3 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9

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