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

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


Simplifying
6(4 + -1y) + 8 = -8(y + -2) + -3
(4 * 6 + -1y * 6) + 8 = -8(y + -2) + -3
(24 + -6y) + 8 = -8(y + -2) + -3

Reorder the terms:
24 + 8 + -6y = -8(y + -2) + -3

Combine like terms: 24 + 8 = 32
32 + -6y = -8(y + -2) + -3

Reorder the terms:
32 + -6y = -8(-2 + y) + -3
32 + -6y = (-2 * -8 + y * -8) + -3
32 + -6y = (16 + -8y) + -3

Reorder the terms:
32 + -6y = 16 + -3 + -8y

Combine like terms: 16 + -3 = 13
32 + -6y = 13 + -8y

Solving
32 + -6y = 13 + -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.
32 + -6y + 8y = 13 + -8y + 8y

Combine like terms: -6y + 8y = 2y
32 + 2y = 13 + -8y + 8y

Combine like terms: -8y + 8y = 0
32 + 2y = 13 + 0
32 + 2y = 13

Add '-32' to each side of the equation.
32 + -32 + 2y = 13 + -32

Combine like terms: 32 + -32 = 0
0 + 2y = 13 + -32
2y = 13 + -32

Combine like terms: 13 + -32 = -19
2y = -19

Divide each side by '2'.
y = -9.5

Simplifying
y = -9.5

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