9=2y+3(y+8)

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Solution for 9=2y+3(y+8) equation:


Simplifying
9 = 2y + 3(y + 8)

Reorder the terms:
9 = 2y + 3(8 + y)
9 = 2y + (8 * 3 + y * 3)
9 = 2y + (24 + 3y)

Reorder the terms:
9 = 24 + 2y + 3y

Combine like terms: 2y + 3y = 5y
9 = 24 + 5y

Solving
9 = 24 + 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 + -5y = 24 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -5y = 24 + 0
9 + -5y = 24

Add '-9' to each side of the equation.
9 + -9 + -5y = 24 + -9

Combine like terms: 9 + -9 = 0
0 + -5y = 24 + -9
-5y = 24 + -9

Combine like terms: 24 + -9 = 15
-5y = 15

Divide each side by '-5'.
y = -3

Simplifying
y = -3

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