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

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Solution for -(3y+1)-(-2y-8)=-1 equation:


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

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

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

Reorder the terms:
-1 + 8 + -3y + 2y = -1

Combine like terms: -1 + 8 = 7
7 + -3y + 2y = -1

Combine like terms: -3y + 2y = -1y
7 + -1y = -1

Solving
7 + -1y = -1

Solving for variable 'y'.

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

Add '-7' to each side of the equation.
7 + -7 + -1y = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = -1 + -7
-1y = -1 + -7

Combine like terms: -1 + -7 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

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