-(8y+2)-(-7y-6)=2

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Solution for -(8y+2)-(-7y-6)=2 equation:


Simplifying
-1(8y + 2) + -1(-7y + -6) = 2

Reorder the terms:
-1(2 + 8y) + -1(-7y + -6) = 2
(2 * -1 + 8y * -1) + -1(-7y + -6) = 2
(-2 + -8y) + -1(-7y + -6) = 2

Reorder the terms:
-2 + -8y + -1(-6 + -7y) = 2
-2 + -8y + (-6 * -1 + -7y * -1) = 2
-2 + -8y + (6 + 7y) = 2

Reorder the terms:
-2 + 6 + -8y + 7y = 2

Combine like terms: -2 + 6 = 4
4 + -8y + 7y = 2

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2

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