6y-15=3(y+4)

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Solution for 6y-15=3(y+4) equation:


Simplifying
6y + -15 = 3(y + 4)

Reorder the terms:
-15 + 6y = 3(y + 4)

Reorder the terms:
-15 + 6y = 3(4 + y)
-15 + 6y = (4 * 3 + y * 3)
-15 + 6y = (12 + 3y)

Solving
-15 + 6y = 12 + 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.
-15 + 6y + -3y = 12 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-15 + 3y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-15 + 3y = 12 + 0
-15 + 3y = 12

Add '15' to each side of the equation.
-15 + 15 + 3y = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 3y = 12 + 15
3y = 12 + 15

Combine like terms: 12 + 15 = 27
3y = 27

Divide each side by '3'.
y = 9

Simplifying
y = 9

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