5(y-4)-9=-4(-5y+8)-3y

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Solution for 5(y-4)-9=-4(-5y+8)-3y equation:


Simplifying
5(y + -4) + -9 = -4(-5y + 8) + -3y

Reorder the terms:
5(-4 + y) + -9 = -4(-5y + 8) + -3y
(-4 * 5 + y * 5) + -9 = -4(-5y + 8) + -3y
(-20 + 5y) + -9 = -4(-5y + 8) + -3y

Reorder the terms:
-20 + -9 + 5y = -4(-5y + 8) + -3y

Combine like terms: -20 + -9 = -29
-29 + 5y = -4(-5y + 8) + -3y

Reorder the terms:
-29 + 5y = -4(8 + -5y) + -3y
-29 + 5y = (8 * -4 + -5y * -4) + -3y
-29 + 5y = (-32 + 20y) + -3y

Combine like terms: 20y + -3y = 17y
-29 + 5y = -32 + 17y

Solving
-29 + 5y = -32 + 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
-29 + 5y + -17y = -32 + 17y + -17y

Combine like terms: 5y + -17y = -12y
-29 + -12y = -32 + 17y + -17y

Combine like terms: 17y + -17y = 0
-29 + -12y = -32 + 0
-29 + -12y = -32

Add '29' to each side of the equation.
-29 + 29 + -12y = -32 + 29

Combine like terms: -29 + 29 = 0
0 + -12y = -32 + 29
-12y = -32 + 29

Combine like terms: -32 + 29 = -3
-12y = -3

Divide each side by '-12'.
y = 0.25

Simplifying
y = 0.25

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