-3(y-8)=-2(y+1)-1

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Solution for -3(y-8)=-2(y+1)-1 equation: 


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

Reorder the terms:
-3(-8 + y) = -2(y + 1) + -1
(-8 * -3 + y * -3) = -2(y + 1) + -1
(24 + -3y) = -2(y + 1) + -1

Reorder the terms:
24 + -3y = -2(1 + y) + -1
24 + -3y = (1 * -2 + y * -2) + -1
24 + -3y = (-2 + -2y) + -1

Reorder the terms:
24 + -3y = -2 + -1 + -2y

Combine like terms: -2 + -1 = -3
24 + -3y = -3 + -2y

Solving
24 + -3y = -3 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
24 + -3y + 2y = -3 + -2y + 2y

Combine like terms: -3y + 2y = -1y
24 + -1y = -3 + -2y + 2y

Combine like terms: -2y + 2y = 0
24 + -1y = -3 + 0
24 + -1y = -3

Add '-24' to each side of the equation.
24 + -24 + -1y = -3 + -24

Combine like terms: 24 + -24 = 0
0 + -1y = -3 + -24
-1y = -3 + -24

Combine like terms: -3 + -24 = -27
-1y = -27

Divide each side by '-1'.
y = 27

Simplifying
y = 27

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