-(5y+3)-(-4y-7)=-1

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Solution for -(5y+3)-(-4y-7)=-1 equation:


Simplifying
-1(5y + 3) + -1(-4y + -7) = -1

Reorder the terms:
-1(3 + 5y) + -1(-4y + -7) = -1
(3 * -1 + 5y * -1) + -1(-4y + -7) = -1
(-3 + -5y) + -1(-4y + -7) = -1

Reorder the terms:
-3 + -5y + -1(-7 + -4y) = -1
-3 + -5y + (-7 * -1 + -4y * -1) = -1
-3 + -5y + (7 + 4y) = -1

Reorder the terms:
-3 + 7 + -5y + 4y = -1

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

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

Solving
4 + -1y = -1

Solving for variable 'y'.

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

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

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

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

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

Simplifying
y = 5

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