-3(1+4n)+7(-y+5)=-8

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Solution for -3(1+4n)+7(-y+5)=-8 equation: 


Simplifying
-3(1 + 4n) + 7(-1y + 5) = -8
(1 * -3 + 4n * -3) + 7(-1y + 5) = -8
(-3 + -12n) + 7(-1y + 5) = -8

Reorder the terms:
-3 + -12n + 7(5 + -1y) = -8
-3 + -12n + (5 * 7 + -1y * 7) = -8
-3 + -12n + (35 + -7y) = -8

Reorder the terms:
-3 + 35 + -12n + -7y = -8

Combine like terms: -3 + 35 = 32
32 + -12n + -7y = -8

Solving
32 + -12n + -7y = -8

Solving for variable 'n'.

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

Add '-32' to each side of the equation.
32 + -12n + -32 + -7y = -8 + -32

Reorder the terms:
32 + -32 + -12n + -7y = -8 + -32

Combine like terms: 32 + -32 = 0
0 + -12n + -7y = -8 + -32
-12n + -7y = -8 + -32

Combine like terms: -8 + -32 = -40
-12n + -7y = -40

Add '7y' to each side of the equation.
-12n + -7y + 7y = -40 + 7y

Combine like terms: -7y + 7y = 0
-12n + 0 = -40 + 7y
-12n = -40 + 7y

Divide each side by '-12'.
n = 3.333333333 + -0.5833333333y

Simplifying
n = 3.333333333 + -0.5833333333y

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