-(8y+2)-(-7Y-3)=1

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Solution for -(8y+2)-(-7Y-3)=1 equation: 


Simplifying
-1(8y + 2) + -1(-7Y + -3) = 1

Reorder the terms:
-1(2 + 8y) + -1(-7Y + -3) = 1
(2 * -1 + 8y * -1) + -1(-7Y + -3) = 1
(-2 + -8y) + -1(-7Y + -3) = 1

Reorder the terms:
-2 + -8y + -1(-3 + -7Y) = 1
-2 + -8y + (-3 * -1 + -7Y * -1) = 1
-2 + -8y + (3 + 7Y) = 1

Reorder the terms:
-2 + 3 + 7Y + -8y = 1

Combine like terms: -2 + 3 = 1
1 + 7Y + -8y = 1

Add '-1' to each side of the equation.
1 + 7Y + -1 + -8y = 1 + -1

Reorder the terms:
1 + -1 + 7Y + -8y = 1 + -1

Combine like terms: 1 + -1 = 0
0 + 7Y + -8y = 1 + -1
7Y + -8y = 1 + -1

Combine like terms: 1 + -1 = 0
7Y + -8y = 0

Solving
7Y + -8y = 0

Solving for variable 'Y'.

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

Add '8y' to each side of the equation.
7Y + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
7Y + 0 = 0 + 8y
7Y = 0 + 8y
Remove the zero:
7Y = 8y

Divide each side by '7'.
Y = 1.142857143y

Simplifying
Y = 1.142857143y

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