-(3y+6)-(-2y-9)=-8

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Solution for -(3y+6)-(-2y-9)=-8 equation:


Simplifying
-1(3y + 6) + -1(-2y + -9) = -8

Reorder the terms:
-1(6 + 3y) + -1(-2y + -9) = -8
(6 * -1 + 3y * -1) + -1(-2y + -9) = -8
(-6 + -3y) + -1(-2y + -9) = -8

Reorder the terms:
-6 + -3y + -1(-9 + -2y) = -8
-6 + -3y + (-9 * -1 + -2y * -1) = -8
-6 + -3y + (9 + 2y) = -8

Reorder the terms:
-6 + 9 + -3y + 2y = -8

Combine like terms: -6 + 9 = 3
3 + -3y + 2y = -8

Combine like terms: -3y + 2y = -1y
3 + -1y = -8

Solving
3 + -1y = -8

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 = -8 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = -8 + -3
-1y = -8 + -3

Combine like terms: -8 + -3 = -11
-1y = -11

Divide each side by '-1'.
y = 11

Simplifying
y = 11

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