-(7y+3)-(-6y-8)=1

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Solution for -(7y+3)-(-6y-8)=1 equation:


Simplifying
-1(7y + 3) + -1(-6y + -8) = 1

Reorder the terms:
-1(3 + 7y) + -1(-6y + -8) = 1
(3 * -1 + 7y * -1) + -1(-6y + -8) = 1
(-3 + -7y) + -1(-6y + -8) = 1

Reorder the terms:
-3 + -7y + -1(-8 + -6y) = 1
-3 + -7y + (-8 * -1 + -6y * -1) = 1
-3 + -7y + (8 + 6y) = 1

Reorder the terms:
-3 + 8 + -7y + 6y = 1

Combine like terms: -3 + 8 = 5
5 + -7y + 6y = 1

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

Solving
5 + -1y = 1

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 1 + -5
-1y = 1 + -5

Combine like terms: 1 + -5 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4

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