-(5y+1)-(-4y-2)=-6

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Solution for -(5y+1)-(-4y-2)=-6 equation:


Simplifying
-1(5y + 1) + -1(-4y + -2) = -6

Reorder the terms:
-1(1 + 5y) + -1(-4y + -2) = -6
(1 * -1 + 5y * -1) + -1(-4y + -2) = -6
(-1 + -5y) + -1(-4y + -2) = -6

Reorder the terms:
-1 + -5y + -1(-2 + -4y) = -6
-1 + -5y + (-2 * -1 + -4y * -1) = -6
-1 + -5y + (2 + 4y) = -6

Reorder the terms:
-1 + 2 + -5y + 4y = -6

Combine like terms: -1 + 2 = 1
1 + -5y + 4y = -6

Combine like terms: -5y + 4y = -1y
1 + -1y = -6

Solving
1 + -1y = -6

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 = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = -6 + -1
-1y = -6 + -1

Combine like terms: -6 + -1 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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