4-8(-5y-2)=(-7y+4)+4

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Solution for 4-8(-5y-2)=(-7y+4)+4 equation: 


Simplifying
4 + -8(-5y + -2) = (-7y + 4) + 4

Reorder the terms:
4 + -8(-2 + -5y) = (-7y + 4) + 4
4 + (-2 * -8 + -5y * -8) = (-7y + 4) + 4
4 + (16 + 40y) = (-7y + 4) + 4

Combine like terms: 4 + 16 = 20
20 + 40y = (-7y + 4) + 4

Reorder the terms:
20 + 40y = (4 + -7y) + 4

Remove parenthesis around (4 + -7y)
20 + 40y = 4 + -7y + 4

Reorder the terms:
20 + 40y = 4 + 4 + -7y

Combine like terms: 4 + 4 = 8
20 + 40y = 8 + -7y

Solving
20 + 40y = 8 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
20 + 40y + 7y = 8 + -7y + 7y

Combine like terms: 40y + 7y = 47y
20 + 47y = 8 + -7y + 7y

Combine like terms: -7y + 7y = 0
20 + 47y = 8 + 0
20 + 47y = 8

Add '-20' to each side of the equation.
20 + -20 + 47y = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 47y = 8 + -20
47y = 8 + -20

Combine like terms: 8 + -20 = -12
47y = -12

Divide each side by '47'.
y = -0.2553191489

Simplifying
y = -0.2553191489

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