(2y+9)=(3y-20)

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Solution for (2y+9)=(3y-20) equation:


Simplifying
(2y + 9) = (3y + -20)

Reorder the terms:
(9 + 2y) = (3y + -20)

Remove parenthesis around (9 + 2y)
9 + 2y = (3y + -20)

Reorder the terms:
9 + 2y = (-20 + 3y)

Remove parenthesis around (-20 + 3y)
9 + 2y = -20 + 3y

Solving
9 + 2y = -20 + 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 = -20 + 3y + -3y

Combine like terms: 2y + -3y = -1y
9 + -1y = -20 + 3y + -3y

Combine like terms: 3y + -3y = 0
9 + -1y = -20 + 0
9 + -1y = -20

Add '-9' to each side of the equation.
9 + -9 + -1y = -20 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = -20 + -9
-1y = -20 + -9

Combine like terms: -20 + -9 = -29
-1y = -29

Divide each side by '-1'.
y = 29

Simplifying
y = 29

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