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

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Solution for -4+8(-y+8)=3(9y+6)+1 equation: 


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

Reorder the terms:
-4 + 8(8 + -1y) = 3(9y + 6) + 1
-4 + (8 * 8 + -1y * 8) = 3(9y + 6) + 1
-4 + (64 + -8y) = 3(9y + 6) + 1

Combine like terms: -4 + 64 = 60
60 + -8y = 3(9y + 6) + 1

Reorder the terms:
60 + -8y = 3(6 + 9y) + 1
60 + -8y = (6 * 3 + 9y * 3) + 1
60 + -8y = (18 + 27y) + 1

Reorder the terms:
60 + -8y = 18 + 1 + 27y

Combine like terms: 18 + 1 = 19
60 + -8y = 19 + 27y

Solving
60 + -8y = 19 + 27y

Solving for variable 'y'.

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

Add '-27y' to each side of the equation.
60 + -8y + -27y = 19 + 27y + -27y

Combine like terms: -8y + -27y = -35y
60 + -35y = 19 + 27y + -27y

Combine like terms: 27y + -27y = 0
60 + -35y = 19 + 0
60 + -35y = 19

Add '-60' to each side of the equation.
60 + -60 + -35y = 19 + -60

Combine like terms: 60 + -60 = 0
0 + -35y = 19 + -60
-35y = 19 + -60

Combine like terms: 19 + -60 = -41
-35y = -41

Divide each side by '-35'.
y = 1.171428571

Simplifying
y = 1.171428571

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