-7(y+1)-(-6y-3)=-1

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Solution for -7(y+1)-(-6y-3)=-1 equation:


Simplifying
-7(y + 1) + -1(-6y + -3) = -1

Reorder the terms:
-7(1 + y) + -1(-6y + -3) = -1
(1 * -7 + y * -7) + -1(-6y + -3) = -1
(-7 + -7y) + -1(-6y + -3) = -1

Reorder the terms:
-7 + -7y + -1(-3 + -6y) = -1
-7 + -7y + (-3 * -1 + -6y * -1) = -1
-7 + -7y + (3 + 6y) = -1

Reorder the terms:
-7 + 3 + -7y + 6y = -1

Combine like terms: -7 + 3 = -4
-4 + -7y + 6y = -1

Combine like terms: -7y + 6y = -1y
-4 + -1y = -1

Solving
-4 + -1y = -1

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 = -1 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = -1 + 4
-1y = -1 + 4

Combine like terms: -1 + 4 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3

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