5y+6-2y=6-3(y+6)

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Solution for 5y+6-2y=6-3(y+6) equation:


Simplifying
5y + 6 + -2y = 6 + -3(y + 6)

Reorder the terms:
6 + 5y + -2y = 6 + -3(y + 6)

Combine like terms: 5y + -2y = 3y
6 + 3y = 6 + -3(y + 6)

Reorder the terms:
6 + 3y = 6 + -3(6 + y)
6 + 3y = 6 + (6 * -3 + y * -3)
6 + 3y = 6 + (-18 + -3y)

Combine like terms: 6 + -18 = -12
6 + 3y = -12 + -3y

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

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

Combine like terms: -3y + 3y = 0
6 + 6y = -12 + 0
6 + 6y = -12

Add '-6' to each side of the equation.
6 + -6 + 6y = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 6y = -12 + -6
6y = -12 + -6

Combine like terms: -12 + -6 = -18
6y = -18

Divide each side by '6'.
y = -3

Simplifying
y = -3

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