6y-9=3(y+5)

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Solution for 6y-9=3(y+5) equation:


Simplifying
6y + -9 = 3(y + 5)

Reorder the terms:
-9 + 6y = 3(y + 5)

Reorder the terms:
-9 + 6y = 3(5 + y)
-9 + 6y = (5 * 3 + y * 3)
-9 + 6y = (15 + 3y)

Solving
-9 + 6y = 15 + 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 + 6y + -3y = 15 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-9 + 3y = 15 + 3y + -3y

Combine like terms: 3y + -3y = 0
-9 + 3y = 15 + 0
-9 + 3y = 15

Add '9' to each side of the equation.
-9 + 9 + 3y = 15 + 9

Combine like terms: -9 + 9 = 0
0 + 3y = 15 + 9
3y = 15 + 9

Combine like terms: 15 + 9 = 24
3y = 24

Divide each side by '3'.
y = 8

Simplifying
y = 8

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