2y-9=3y+7

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Solution for 2y-9=3y+7 equation:


Simplifying
2y + -9 = 3y + 7

Reorder the terms:
-9 + 2y = 3y + 7

Reorder the terms:
-9 + 2y = 7 + 3y

Solving
-9 + 2y = 7 + 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.
-9 + 2y + -3y = 7 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-9 + -1y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
-9 + -1y = 7 + 0
-9 + -1y = 7

Add '9' to each side of the equation.
-9 + 9 + -1y = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = 7 + 9
-1y = 7 + 9

Combine like terms: 7 + 9 = 16
-1y = 16

Divide each side by '-1'.
y = -16

Simplifying
y = -16

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