-5y-4(-6y-8)=-4-3(9-y)

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Solution for -5y-4(-6y-8)=-4-3(9-y) equation: 


Simplifying
-5y + -4(-6y + -8) = -4 + -3(9 + -1y)

Reorder the terms:
-5y + -4(-8 + -6y) = -4 + -3(9 + -1y)
-5y + (-8 * -4 + -6y * -4) = -4 + -3(9 + -1y)
-5y + (32 + 24y) = -4 + -3(9 + -1y)

Reorder the terms:
32 + -5y + 24y = -4 + -3(9 + -1y)

Combine like terms: -5y + 24y = 19y
32 + 19y = -4 + -3(9 + -1y)
32 + 19y = -4 + (9 * -3 + -1y * -3)
32 + 19y = -4 + (-27 + 3y)

Combine like terms: -4 + -27 = -31
32 + 19y = -31 + 3y

Solving
32 + 19y = -31 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
32 + 19y + -3y = -31 + 3y + -3y

Combine like terms: 19y + -3y = 16y
32 + 16y = -31 + 3y + -3y

Combine like terms: 3y + -3y = 0
32 + 16y = -31 + 0
32 + 16y = -31

Add '-32' to each side of the equation.
32 + -32 + 16y = -31 + -32

Combine like terms: 32 + -32 = 0
0 + 16y = -31 + -32
16y = -31 + -32

Combine like terms: -31 + -32 = -63
16y = -63

Divide each side by '16'.
y = -3.9375

Simplifying
y = -3.9375

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