-1+9(y+8)=-5(8y-7)-4

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Solution for -1+9(y+8)=-5(8y-7)-4 equation: 


Simplifying
-1 + 9(y + 8) = -5(8y + -7) + -4

Reorder the terms:
-1 + 9(8 + y) = -5(8y + -7) + -4
-1 + (8 * 9 + y * 9) = -5(8y + -7) + -4
-1 + (72 + 9y) = -5(8y + -7) + -4

Combine like terms: -1 + 72 = 71
71 + 9y = -5(8y + -7) + -4

Reorder the terms:
71 + 9y = -5(-7 + 8y) + -4
71 + 9y = (-7 * -5 + 8y * -5) + -4
71 + 9y = (35 + -40y) + -4

Reorder the terms:
71 + 9y = 35 + -4 + -40y

Combine like terms: 35 + -4 = 31
71 + 9y = 31 + -40y

Solving
71 + 9y = 31 + -40y

Solving for variable 'y'.

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

Add '40y' to each side of the equation.
71 + 9y + 40y = 31 + -40y + 40y

Combine like terms: 9y + 40y = 49y
71 + 49y = 31 + -40y + 40y

Combine like terms: -40y + 40y = 0
71 + 49y = 31 + 0
71 + 49y = 31

Add '-71' to each side of the equation.
71 + -71 + 49y = 31 + -71

Combine like terms: 71 + -71 = 0
0 + 49y = 31 + -71
49y = 31 + -71

Combine like terms: 31 + -71 = -40
49y = -40

Divide each side by '49'.
y = -0.8163265306

Simplifying
y = -0.8163265306

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