3y-6=8(y+3)

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Solution for 3y-6=8(y+3) equation:


Simplifying
3y + -6 = 8(y + 3)

Reorder the terms:
-6 + 3y = 8(y + 3)

Reorder the terms:
-6 + 3y = 8(3 + y)
-6 + 3y = (3 * 8 + y * 8)
-6 + 3y = (24 + 8y)

Solving
-6 + 3y = 24 + 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.
-6 + 3y + -8y = 24 + 8y + -8y

Combine like terms: 3y + -8y = -5y
-6 + -5y = 24 + 8y + -8y

Combine like terms: 8y + -8y = 0
-6 + -5y = 24 + 0
-6 + -5y = 24

Add '6' to each side of the equation.
-6 + 6 + -5y = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -5y = 24 + 6
-5y = 24 + 6

Combine like terms: 24 + 6 = 30
-5y = 30

Divide each side by '-5'.
y = -6

Simplifying
y = -6

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