-(8y+5)-(-7y-6)=-6

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Solution for -(8y+5)-(-7y-6)=-6 equation:


Simplifying
-1(8y + 5) + -1(-7y + -6) = -6

Reorder the terms:
-1(5 + 8y) + -1(-7y + -6) = -6
(5 * -1 + 8y * -1) + -1(-7y + -6) = -6
(-5 + -8y) + -1(-7y + -6) = -6

Reorder the terms:
-5 + -8y + -1(-6 + -7y) = -6
-5 + -8y + (-6 * -1 + -7y * -1) = -6
-5 + -8y + (6 + 7y) = -6

Reorder the terms:
-5 + 6 + -8y + 7y = -6

Combine like terms: -5 + 6 = 1
1 + -8y + 7y = -6

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

Solving
1 + -1y = -6

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + -1y = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = -6 + -1
-1y = -6 + -1

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

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

Simplifying
y = 7

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