-(3y+5)-(-2y-8)=-4

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Solution for -(3y+5)-(-2y-8)=-4 equation:


Simplifying
-1(3y + 5) + -1(-2y + -8) = -4

Reorder the terms:
-1(5 + 3y) + -1(-2y + -8) = -4
(5 * -1 + 3y * -1) + -1(-2y + -8) = -4
(-5 + -3y) + -1(-2y + -8) = -4

Reorder the terms:
-5 + -3y + -1(-8 + -2y) = -4
-5 + -3y + (-8 * -1 + -2y * -1) = -4
-5 + -3y + (8 + 2y) = -4

Reorder the terms:
-5 + 8 + -3y + 2y = -4

Combine like terms: -5 + 8 = 3
3 + -3y + 2y = -4

Combine like terms: -3y + 2y = -1y
3 + -1y = -4

Solving
3 + -1y = -4

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 = -4 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = -4 + -3
-1y = -4 + -3

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

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

Simplifying
y = 7

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