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

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


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

Reorder the terms:
-5(-4 + y) = -4(y + -7) + 8
(-4 * -5 + y * -5) = -4(y + -7) + 8
(20 + -5y) = -4(y + -7) + 8

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

Reorder the terms:
20 + -5y = 28 + 8 + -4y

Combine like terms: 28 + 8 = 36
20 + -5y = 36 + -4y

Solving
20 + -5y = 36 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
20 + -5y + 4y = 36 + -4y + 4y

Combine like terms: -5y + 4y = -1y
20 + -1y = 36 + -4y + 4y

Combine like terms: -4y + 4y = 0
20 + -1y = 36 + 0
20 + -1y = 36

Add '-20' to each side of the equation.
20 + -20 + -1y = 36 + -20

Combine like terms: 20 + -20 = 0
0 + -1y = 36 + -20
-1y = 36 + -20

Combine like terms: 36 + -20 = 16
-1y = 16

Divide each side by '-1'.
y = -16

Simplifying
y = -16

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