-5y+4(-1y+9)=-7+5(-4-y)

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Solution for -5y+4(-1y+9)=-7+5(-4-y) equation: 


Simplifying
-5y + 4(-1y + 9) = -7 + 5(-4 + -1y)

Reorder the terms:
-5y + 4(9 + -1y) = -7 + 5(-4 + -1y)
-5y + (9 * 4 + -1y * 4) = -7 + 5(-4 + -1y)
-5y + (36 + -4y) = -7 + 5(-4 + -1y)

Reorder the terms:
36 + -5y + -4y = -7 + 5(-4 + -1y)

Combine like terms: -5y + -4y = -9y
36 + -9y = -7 + 5(-4 + -1y)
36 + -9y = -7 + (-4 * 5 + -1y * 5)
36 + -9y = -7 + (-20 + -5y)

Combine like terms: -7 + -20 = -27
36 + -9y = -27 + -5y

Solving
36 + -9y = -27 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
36 + -9y + 5y = -27 + -5y + 5y

Combine like terms: -9y + 5y = -4y
36 + -4y = -27 + -5y + 5y

Combine like terms: -5y + 5y = 0
36 + -4y = -27 + 0
36 + -4y = -27

Add '-36' to each side of the equation.
36 + -36 + -4y = -27 + -36

Combine like terms: 36 + -36 = 0
0 + -4y = -27 + -36
-4y = -27 + -36

Combine like terms: -27 + -36 = -63
-4y = -63

Divide each side by '-4'.
y = 15.75

Simplifying
y = 15.75

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