-(3y+4)-(-2y-8)=-2

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Solution for -(3y+4)-(-2y-8)=-2 equation:


Simplifying
-1(3y + 4) + -1(-2y + -8) = -2

Reorder the terms:
-1(4 + 3y) + -1(-2y + -8) = -2
(4 * -1 + 3y * -1) + -1(-2y + -8) = -2
(-4 + -3y) + -1(-2y + -8) = -2

Reorder the terms:
-4 + -3y + -1(-8 + -2y) = -2
-4 + -3y + (-8 * -1 + -2y * -1) = -2
-4 + -3y + (8 + 2y) = -2

Reorder the terms:
-4 + 8 + -3y + 2y = -2

Combine like terms: -4 + 8 = 4
4 + -3y + 2y = -2

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

Solving
4 + -1y = -2

Solving for variable 'y'.

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

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

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

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

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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