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

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


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

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

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

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

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

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

Solving
3 + -1y = -2

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 = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = -2 + -3
-1y = -2 + -3

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

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

Simplifying
y = 5

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