6+(y+4)=2y-(5y-18)

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Solution for 6+(y+4)=2y-(5y-18) equation: 


Simplifying
6 + (y + 4) = 2y + -1(5y + -18)

Reorder the terms:
6 + (4 + y) = 2y + -1(5y + -18)

Remove parenthesis around (4 + y)
6 + 4 + y = 2y + -1(5y + -18)

Combine like terms: 6 + 4 = 10
10 + y = 2y + -1(5y + -18)

Reorder the terms:
10 + y = 2y + -1(-18 + 5y)
10 + y = 2y + (-18 * -1 + 5y * -1)
10 + y = 2y + (18 + -5y)

Reorder the terms:
10 + y = 18 + 2y + -5y

Combine like terms: 2y + -5y = -3y
10 + y = 18 + -3y

Solving
10 + y = 18 + -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.
10 + y + 3y = 18 + -3y + 3y

Combine like terms: y + 3y = 4y
10 + 4y = 18 + -3y + 3y

Combine like terms: -3y + 3y = 0
10 + 4y = 18 + 0
10 + 4y = 18

Add '-10' to each side of the equation.
10 + -10 + 4y = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 4y = 18 + -10
4y = 18 + -10

Combine like terms: 18 + -10 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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