-(5y+2)-(-4y-7)=-3

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Solution for -(5y+2)-(-4y-7)=-3 equation:


Simplifying
-1(5y + 2) + -1(-4y + -7) = -3

Reorder the terms:
-1(2 + 5y) + -1(-4y + -7) = -3
(2 * -1 + 5y * -1) + -1(-4y + -7) = -3
(-2 + -5y) + -1(-4y + -7) = -3

Reorder the terms:
-2 + -5y + -1(-7 + -4y) = -3
-2 + -5y + (-7 * -1 + -4y * -1) = -3
-2 + -5y + (7 + 4y) = -3

Reorder the terms:
-2 + 7 + -5y + 4y = -3

Combine like terms: -2 + 7 = 5
5 + -5y + 4y = -3

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

Solving
5 + -1y = -3

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -1y = -3 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = -3 + -5
-1y = -3 + -5

Combine like terms: -3 + -5 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

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