-3y-4(8y+6)=8+8(7-y)

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Solution for -3y-4(8y+6)=8+8(7-y) equation:


Simplifying
-3y + -4(8y + 6) = 8 + 8(7 + -1y)

Reorder the terms:
-3y + -4(6 + 8y) = 8 + 8(7 + -1y)
-3y + (6 * -4 + 8y * -4) = 8 + 8(7 + -1y)
-3y + (-24 + -32y) = 8 + 8(7 + -1y)

Reorder the terms:
-24 + -3y + -32y = 8 + 8(7 + -1y)

Combine like terms: -3y + -32y = -35y
-24 + -35y = 8 + 8(7 + -1y)
-24 + -35y = 8 + (7 * 8 + -1y * 8)
-24 + -35y = 8 + (56 + -8y)

Combine like terms: 8 + 56 = 64
-24 + -35y = 64 + -8y

Solving
-24 + -35y = 64 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-24 + -35y + 8y = 64 + -8y + 8y

Combine like terms: -35y + 8y = -27y
-24 + -27y = 64 + -8y + 8y

Combine like terms: -8y + 8y = 0
-24 + -27y = 64 + 0
-24 + -27y = 64

Add '24' to each side of the equation.
-24 + 24 + -27y = 64 + 24

Combine like terms: -24 + 24 = 0
0 + -27y = 64 + 24
-27y = 64 + 24

Combine like terms: 64 + 24 = 88
-27y = 88

Divide each side by '-27'.
y = -3.259259259

Simplifying
y = -3.259259259

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