-(5y+2)-(-4y-5)=-2

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Solution for -(5y+2)-(-4y-5)=-2 equation:


Simplifying
-1(5y + 2) + -1(-4y + -5) = -2

Reorder the terms:
-1(2 + 5y) + -1(-4y + -5) = -2
(2 * -1 + 5y * -1) + -1(-4y + -5) = -2
(-2 + -5y) + -1(-4y + -5) = -2

Reorder the terms:
-2 + -5y + -1(-5 + -4y) = -2
-2 + -5y + (-5 * -1 + -4y * -1) = -2
-2 + -5y + (5 + 4y) = -2

Reorder the terms:
-2 + 5 + -5y + 4y = -2

Combine like terms: -2 + 5 = 3
3 + -5y + 4y = -2

Combine like terms: -5y + 4y = -1y
3 + -1y = -2

Solving
3 + -1y = -2

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 = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = -2 + -3
-1y = -2 + -3

Combine like terms: -2 + -3 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5

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