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

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


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

Reorder the terms:
3(2 + y) + -1(-1y + 4) = y + -4
(2 * 3 + y * 3) + -1(-1y + 4) = y + -4
(6 + 3y) + -1(-1y + 4) = y + -4

Reorder the terms:
6 + 3y + -1(4 + -1y) = y + -4
6 + 3y + (4 * -1 + -1y * -1) = y + -4
6 + 3y + (-4 + 1y) = y + -4

Reorder the terms:
6 + -4 + 3y + 1y = y + -4

Combine like terms: 6 + -4 = 2
2 + 3y + 1y = y + -4

Combine like terms: 3y + 1y = 4y
2 + 4y = y + -4

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

Solving
2 + 4y = -4 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
2 + 4y + -1y = -4 + y + -1y

Combine like terms: 4y + -1y = 3y
2 + 3y = -4 + y + -1y

Combine like terms: y + -1y = 0
2 + 3y = -4 + 0
2 + 3y = -4

Add '-2' to each side of the equation.
2 + -2 + 3y = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = -4 + -2
3y = -4 + -2

Combine like terms: -4 + -2 = -6
3y = -6

Divide each side by '3'.
y = -2

Simplifying
y = -2

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