-4(-7Y+1)+5(8-4Y)=-4

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


Simplifying
-4(-7Y + 1) + 5(8 + -4Y) = -4

Reorder the terms:
-4(1 + -7Y) + 5(8 + -4Y) = -4
(1 * -4 + -7Y * -4) + 5(8 + -4Y) = -4
(-4 + 28Y) + 5(8 + -4Y) = -4
-4 + 28Y + (8 * 5 + -4Y * 5) = -4
-4 + 28Y + (40 + -20Y) = -4

Reorder the terms:
-4 + 40 + 28Y + -20Y = -4

Combine like terms: -4 + 40 = 36
36 + 28Y + -20Y = -4

Combine like terms: 28Y + -20Y = 8Y
36 + 8Y = -4

Solving
36 + 8Y = -4

Solving for variable 'Y'.

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

Add '-36' to each side of the equation.
36 + -36 + 8Y = -4 + -36

Combine like terms: 36 + -36 = 0
0 + 8Y = -4 + -36
8Y = -4 + -36

Combine like terms: -4 + -36 = -40
8Y = -40

Divide each side by '8'.
Y = -5

Simplifying
Y = -5

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