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

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


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

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

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

Reorder the terms:
4 + -2 + y + -2y + 3y = 2

Combine like terms: 4 + -2 = 2
2 + y + -2y + 3y = 2

Combine like terms: y + -2y = -1y
2 + -1y + 3y = 2

Combine like terms: -1y + 3y = 2y
2 + 2y = 2

Add '-2' to each side of the equation.
2 + -2 + 2y = 2 + -2

Combine like terms: 2 + -2 = 0
0 + 2y = 2 + -2
2y = 2 + -2

Combine like terms: 2 + -2 = 0
2y = 0

Solving
2y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '2'.
y = 0

Simplifying
y = 0

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