-(5y+4)-(-4y-8)=1

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Solution for -(5y+4)-(-4y-8)=1 equation:


Simplifying
-1(5y + 4) + -1(-4y + -8) = 1

Reorder the terms:
-1(4 + 5y) + -1(-4y + -8) = 1
(4 * -1 + 5y * -1) + -1(-4y + -8) = 1
(-4 + -5y) + -1(-4y + -8) = 1

Reorder the terms:
-4 + -5y + -1(-8 + -4y) = 1
-4 + -5y + (-8 * -1 + -4y * -1) = 1
-4 + -5y + (8 + 4y) = 1

Reorder the terms:
-4 + 8 + -5y + 4y = 1

Combine like terms: -4 + 8 = 4
4 + -5y + 4y = 1

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