-(5y+4)-(-4y-7)=1

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Solution for -(5y+4)-(-4y-7)=1 equation:


Simplifying
-1(5y + 4) + -1(-4y + -7) = 1

Reorder the terms:
-1(4 + 5y) + -1(-4y + -7) = 1
(4 * -1 + 5y * -1) + -1(-4y + -7) = 1
(-4 + -5y) + -1(-4y + -7) = 1

Reorder the terms:
-4 + -5y + -1(-7 + -4y) = 1
-4 + -5y + (-7 * -1 + -4y * -1) = 1
-4 + -5y + (7 + 4y) = 1

Reorder the terms:
-4 + 7 + -5y + 4y = 1

Combine like terms: -4 + 7 = 3
3 + -5y + 4y = 1

Combine like terms: -5y + 4y = -1y
3 + -1y = 1

Solving
3 + -1y = 1

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 1 + -3
-1y = 1 + -3

Combine like terms: 1 + -3 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

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