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

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


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

Reorder the terms:
-5y + -8(-7 + 5y) = -4 + 3(-8 + -1y)
-5y + (-7 * -8 + 5y * -8) = -4 + 3(-8 + -1y)
-5y + (56 + -40y) = -4 + 3(-8 + -1y)

Reorder the terms:
56 + -5y + -40y = -4 + 3(-8 + -1y)

Combine like terms: -5y + -40y = -45y
56 + -45y = -4 + 3(-8 + -1y)
56 + -45y = -4 + (-8 * 3 + -1y * 3)
56 + -45y = -4 + (-24 + -3y)

Combine like terms: -4 + -24 = -28
56 + -45y = -28 + -3y

Solving
56 + -45y = -28 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
56 + -45y + 3y = -28 + -3y + 3y

Combine like terms: -45y + 3y = -42y
56 + -42y = -28 + -3y + 3y

Combine like terms: -3y + 3y = 0
56 + -42y = -28 + 0
56 + -42y = -28

Add '-56' to each side of the equation.
56 + -56 + -42y = -28 + -56

Combine like terms: 56 + -56 = 0
0 + -42y = -28 + -56
-42y = -28 + -56

Combine like terms: -28 + -56 = -84
-42y = -84

Divide each side by '-42'.
y = 2

Simplifying
y = 2

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