(2y+9)=(5y-18)

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Solution for (2y+9)=(5y-18) equation:


Simplifying
(2y + 9) = (5y + -18)

Reorder the terms:
(9 + 2y) = (5y + -18)

Remove parenthesis around (9 + 2y)
9 + 2y = (5y + -18)

Reorder the terms:
9 + 2y = (-18 + 5y)

Remove parenthesis around (-18 + 5y)
9 + 2y = -18 + 5y

Solving
9 + 2y = -18 + 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.
9 + 2y + -5y = -18 + 5y + -5y

Combine like terms: 2y + -5y = -3y
9 + -3y = -18 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -3y = -18 + 0
9 + -3y = -18

Add '-9' to each side of the equation.
9 + -9 + -3y = -18 + -9

Combine like terms: 9 + -9 = 0
0 + -3y = -18 + -9
-3y = -18 + -9

Combine like terms: -18 + -9 = -27
-3y = -27

Divide each side by '-3'.
y = 9

Simplifying
y = 9

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