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

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


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

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

Remove parenthesis around (1 + 7y)
1 + 7y + -1(-6y + -7) = -1

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

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

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

Combine like terms: 7y + 6y = 13y
8 + 13y = -1

Solving
8 + 13y = -1

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + 13y = -1 + -8

Combine like terms: 8 + -8 = 0
0 + 13y = -1 + -8
13y = -1 + -8

Combine like terms: -1 + -8 = -9
13y = -9

Divide each side by '13'.
y = -0.6923076923

Simplifying
y = -0.6923076923

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