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

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Solution for -(5y+1)-(-4y-2)=-4 equation:


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

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

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

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

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

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

Solving
1 + -1y = -4

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + -1y = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = -4 + -1
-1y = -4 + -1

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

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

Simplifying
y = 5

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