3(y-8)-4=-5(-4y+2)-y

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Solution for 3(y-8)-4=-5(-4y+2)-y equation:


Simplifying
3(y + -8) + -4 = -5(-4y + 2) + -1y

Reorder the terms:
3(-8 + y) + -4 = -5(-4y + 2) + -1y
(-8 * 3 + y * 3) + -4 = -5(-4y + 2) + -1y
(-24 + 3y) + -4 = -5(-4y + 2) + -1y

Reorder the terms:
-24 + -4 + 3y = -5(-4y + 2) + -1y

Combine like terms: -24 + -4 = -28
-28 + 3y = -5(-4y + 2) + -1y

Reorder the terms:
-28 + 3y = -5(2 + -4y) + -1y
-28 + 3y = (2 * -5 + -4y * -5) + -1y
-28 + 3y = (-10 + 20y) + -1y

Combine like terms: 20y + -1y = 19y
-28 + 3y = -10 + 19y

Solving
-28 + 3y = -10 + 19y

Solving for variable 'y'.

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

Add '-19y' to each side of the equation.
-28 + 3y + -19y = -10 + 19y + -19y

Combine like terms: 3y + -19y = -16y
-28 + -16y = -10 + 19y + -19y

Combine like terms: 19y + -19y = 0
-28 + -16y = -10 + 0
-28 + -16y = -10

Add '28' to each side of the equation.
-28 + 28 + -16y = -10 + 28

Combine like terms: -28 + 28 = 0
0 + -16y = -10 + 28
-16y = -10 + 28

Combine like terms: -10 + 28 = 18
-16y = 18

Divide each side by '-16'.
y = -1.125

Simplifying
y = -1.125

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