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

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


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

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

Remove parenthesis around (4 + -5y)
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 = 12
12 + -5y + 4y = 1

Combine like terms: -5y + 4y = -1y
12 + -1y = 1

Solving
12 + -1y = 1

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + -1y = 1 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = 1 + -12
-1y = 1 + -12

Combine like terms: 1 + -12 = -11
-1y = -11

Divide each side by '-1'.
y = 11

Simplifying
y = 11

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