-(3y+1)-(-2y-6)=-2

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Solution for -(3y+1)-(-2y-6)=-2 equation:


Simplifying
-1(3y + 1) + -1(-2y + -6) = -2

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

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

Reorder the terms:
-1 + 6 + -3y + 2y = -2

Combine like terms: -1 + 6 = 5
5 + -3y + 2y = -2

Combine like terms: -3y + 2y = -1y
5 + -1y = -2

Solving
5 + -1y = -2

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -1y = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = -2 + -5
-1y = -2 + -5

Combine like terms: -2 + -5 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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