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

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


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

Reorder the terms:
1 + -4(-8 + 9y) = 8(-7y + 1) + -7
1 + (-8 * -4 + 9y * -4) = 8(-7y + 1) + -7
1 + (32 + -36y) = 8(-7y + 1) + -7

Combine like terms: 1 + 32 = 33
33 + -36y = 8(-7y + 1) + -7

Reorder the terms:
33 + -36y = 8(1 + -7y) + -7
33 + -36y = (1 * 8 + -7y * 8) + -7
33 + -36y = (8 + -56y) + -7

Reorder the terms:
33 + -36y = 8 + -7 + -56y

Combine like terms: 8 + -7 = 1
33 + -36y = 1 + -56y

Solving
33 + -36y = 1 + -56y

Solving for variable 'y'.

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

Add '56y' to each side of the equation.
33 + -36y + 56y = 1 + -56y + 56y

Combine like terms: -36y + 56y = 20y
33 + 20y = 1 + -56y + 56y

Combine like terms: -56y + 56y = 0
33 + 20y = 1 + 0
33 + 20y = 1

Add '-33' to each side of the equation.
33 + -33 + 20y = 1 + -33

Combine like terms: 33 + -33 = 0
0 + 20y = 1 + -33
20y = 1 + -33

Combine like terms: 1 + -33 = -32
20y = -32

Divide each side by '20'.
y = -1.6

Simplifying
y = -1.6

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