-(7y+1)-(-6y-8)=8

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Solution for -(7y+1)-(-6y-8)=8 equation:


Simplifying
-1(7y + 1) + -1(-6y + -8) = 8

Reorder the terms:
-1(1 + 7y) + -1(-6y + -8) = 8
(1 * -1 + 7y * -1) + -1(-6y + -8) = 8
(-1 + -7y) + -1(-6y + -8) = 8

Reorder the terms:
-1 + -7y + -1(-8 + -6y) = 8
-1 + -7y + (-8 * -1 + -6y * -1) = 8
-1 + -7y + (8 + 6y) = 8

Reorder the terms:
-1 + 8 + -7y + 6y = 8

Combine like terms: -1 + 8 = 7
7 + -7y + 6y = 8

Combine like terms: -7y + 6y = -1y
7 + -1y = 8

Solving
7 + -1y = 8

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 = 8 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 8 + -7
-1y = 8 + -7

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

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

Simplifying
y = -1

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