-(4y+8)-(-3y+9)=2

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Solution for -(4y+8)-(-3y+9)=2 equation:


Simplifying
-1(4y + 8) + -1(-3y + 9) = 2

Reorder the terms:
-1(8 + 4y) + -1(-3y + 9) = 2
(8 * -1 + 4y * -1) + -1(-3y + 9) = 2
(-8 + -4y) + -1(-3y + 9) = 2

Reorder the terms:
-8 + -4y + -1(9 + -3y) = 2
-8 + -4y + (9 * -1 + -3y * -1) = 2
-8 + -4y + (-9 + 3y) = 2

Reorder the terms:
-8 + -9 + -4y + 3y = 2

Combine like terms: -8 + -9 = -17
-17 + -4y + 3y = 2

Combine like terms: -4y + 3y = -1y
-17 + -1y = 2

Solving
-17 + -1y = 2

Solving for variable 'y'.

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

Add '17' to each side of the equation.
-17 + 17 + -1y = 2 + 17

Combine like terms: -17 + 17 = 0
0 + -1y = 2 + 17
-1y = 2 + 17

Combine like terms: 2 + 17 = 19
-1y = 19

Divide each side by '-1'.
y = -19

Simplifying
y = -19

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