2y+9=3y+13

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Solution for 2y+9=3y+13 equation:


Simplifying
2y + 9 = 3y + 13

Reorder the terms:
9 + 2y = 3y + 13

Reorder the terms:
9 + 2y = 13 + 3y

Solving
9 + 2y = 13 + 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 = 13 + 3y + -3y

Combine like terms: 2y + -3y = -1y
9 + -1y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
9 + -1y = 13 + 0
9 + -1y = 13

Add '-9' to each side of the equation.
9 + -9 + -1y = 13 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 13 + -9
-1y = 13 + -9

Combine like terms: 13 + -9 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4

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