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

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


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

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

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

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

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

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

Solving
3 + -1y = -5

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 = -5 + -3

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

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

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

Simplifying
y = 8

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