3y+9=8(y-2)

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


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

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

Reorder the terms:
9 + 3y = 8(-2 + y)
9 + 3y = (-2 * 8 + y * 8)
9 + 3y = (-16 + 8y)

Solving
9 + 3y = -16 + 8y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8y' to each side of the equation.
9 + 3y + -8y = -16 + 8y + -8y

Combine like terms: 3y + -8y = -5y
9 + -5y = -16 + 8y + -8y

Combine like terms: 8y + -8y = 0
9 + -5y = -16 + 0
9 + -5y = -16

Add '-9' to each side of the equation.
9 + -9 + -5y = -16 + -9

Combine like terms: 9 + -9 = 0
0 + -5y = -16 + -9
-5y = -16 + -9

Combine like terms: -16 + -9 = -25
-5y = -25

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

Simplifying
y = 5

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