-(8y+1)-(-7y-2)=-5

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Solution for -(8y+1)-(-7y-2)=-5 equation:


Simplifying
-1(8y + 1) + -1(-7y + -2) = -5

Reorder the terms:
-1(1 + 8y) + -1(-7y + -2) = -5
(1 * -1 + 8y * -1) + -1(-7y + -2) = -5
(-1 + -8y) + -1(-7y + -2) = -5

Reorder the terms:
-1 + -8y + -1(-2 + -7y) = -5
-1 + -8y + (-2 * -1 + -7y * -1) = -5
-1 + -8y + (2 + 7y) = -5

Reorder the terms:
-1 + 2 + -8y + 7y = -5

Combine like terms: -1 + 2 = 1
1 + -8y + 7y = -5

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

Solving
1 + -1y = -5

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 = -5 + -1

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

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

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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