4+(y+3)=2y-(5y-27)

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Solution for 4+(y+3)=2y-(5y-27) equation:


Simplifying
4 + (y + 3) = 2y + -1(5y + -27)

Reorder the terms:
4 + (3 + y) = 2y + -1(5y + -27)

Remove parenthesis around (3 + y)
4 + 3 + y = 2y + -1(5y + -27)

Combine like terms: 4 + 3 = 7
7 + y = 2y + -1(5y + -27)

Reorder the terms:
7 + y = 2y + -1(-27 + 5y)
7 + y = 2y + (-27 * -1 + 5y * -1)
7 + y = 2y + (27 + -5y)

Reorder the terms:
7 + y = 27 + 2y + -5y

Combine like terms: 2y + -5y = -3y
7 + y = 27 + -3y

Solving
7 + y = 27 + -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.
7 + y + 3y = 27 + -3y + 3y

Combine like terms: y + 3y = 4y
7 + 4y = 27 + -3y + 3y

Combine like terms: -3y + 3y = 0
7 + 4y = 27 + 0
7 + 4y = 27

Add '-7' to each side of the equation.
7 + -7 + 4y = 27 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = 27 + -7
4y = 27 + -7

Combine like terms: 27 + -7 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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