5(y-4)-4=-4(-4y+3)-2y

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Solution for 5(y-4)-4=-4(-4y+3)-2y equation:


Simplifying
5(y + -4) + -4 = -4(-4y + 3) + -2y

Reorder the terms:
5(-4 + y) + -4 = -4(-4y + 3) + -2y
(-4 * 5 + y * 5) + -4 = -4(-4y + 3) + -2y
(-20 + 5y) + -4 = -4(-4y + 3) + -2y

Reorder the terms:
-20 + -4 + 5y = -4(-4y + 3) + -2y

Combine like terms: -20 + -4 = -24
-24 + 5y = -4(-4y + 3) + -2y

Reorder the terms:
-24 + 5y = -4(3 + -4y) + -2y
-24 + 5y = (3 * -4 + -4y * -4) + -2y
-24 + 5y = (-12 + 16y) + -2y

Combine like terms: 16y + -2y = 14y
-24 + 5y = -12 + 14y

Solving
-24 + 5y = -12 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-24 + 5y + -14y = -12 + 14y + -14y

Combine like terms: 5y + -14y = -9y
-24 + -9y = -12 + 14y + -14y

Combine like terms: 14y + -14y = 0
-24 + -9y = -12 + 0
-24 + -9y = -12

Add '24' to each side of the equation.
-24 + 24 + -9y = -12 + 24

Combine like terms: -24 + 24 = 0
0 + -9y = -12 + 24
-9y = -12 + 24

Combine like terms: -12 + 24 = 12
-9y = 12

Divide each side by '-9'.
y = -1.333333333

Simplifying
y = -1.333333333

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