6y+8=3(y-5)

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Solution for 6y+8=3(y-5) equation:


Simplifying
6y + 8 = 3(y + -5)

Reorder the terms:
8 + 6y = 3(y + -5)

Reorder the terms:
8 + 6y = 3(-5 + y)
8 + 6y = (-5 * 3 + y * 3)
8 + 6y = (-15 + 3y)

Solving
8 + 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.
8 + 6y + -3y = -15 + 3y + -3y

Combine like terms: 6y + -3y = 3y
8 + 3y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + 3y = -15 + 0
8 + 3y = -15

Add '-8' to each side of the equation.
8 + -8 + 3y = -15 + -8

Combine like terms: 8 + -8 = 0
0 + 3y = -15 + -8
3y = -15 + -8

Combine like terms: -15 + -8 = -23
3y = -23

Divide each side by '3'.
y = -7.666666667

Simplifying
y = -7.666666667

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