-4y+8(-2y+3)=6+8(-6-y)

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Solution for -4y+8(-2y+3)=6+8(-6-y) equation:


Simplifying
-4y + 8(-2y + 3) = 6 + 8(-6 + -1y)

Reorder the terms:
-4y + 8(3 + -2y) = 6 + 8(-6 + -1y)
-4y + (3 * 8 + -2y * 8) = 6 + 8(-6 + -1y)
-4y + (24 + -16y) = 6 + 8(-6 + -1y)

Reorder the terms:
24 + -4y + -16y = 6 + 8(-6 + -1y)

Combine like terms: -4y + -16y = -20y
24 + -20y = 6 + 8(-6 + -1y)
24 + -20y = 6 + (-6 * 8 + -1y * 8)
24 + -20y = 6 + (-48 + -8y)

Combine like terms: 6 + -48 = -42
24 + -20y = -42 + -8y

Solving
24 + -20y = -42 + -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 + -20y + 8y = -42 + -8y + 8y

Combine like terms: -20y + 8y = -12y
24 + -12y = -42 + -8y + 8y

Combine like terms: -8y + 8y = 0
24 + -12y = -42 + 0
24 + -12y = -42

Add '-24' to each side of the equation.
24 + -24 + -12y = -42 + -24

Combine like terms: 24 + -24 = 0
0 + -12y = -42 + -24
-12y = -42 + -24

Combine like terms: -42 + -24 = -66
-12y = -66

Divide each side by '-12'.
y = 5.5

Simplifying
y = 5.5

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