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

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


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

Reorder the terms:
-4(5 + -3y) + -2y = 4(y + -5) + -8
(5 * -4 + -3y * -4) + -2y = 4(y + -5) + -8
(-20 + 12y) + -2y = 4(y + -5) + -8

Combine like terms: 12y + -2y = 10y
-20 + 10y = 4(y + -5) + -8

Reorder the terms:
-20 + 10y = 4(-5 + y) + -8
-20 + 10y = (-5 * 4 + y * 4) + -8
-20 + 10y = (-20 + 4y) + -8

Reorder the terms:
-20 + 10y = -20 + -8 + 4y

Combine like terms: -20 + -8 = -28
-20 + 10y = -28 + 4y

Solving
-20 + 10y = -28 + 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 + 10y + -4y = -28 + 4y + -4y

Combine like terms: 10y + -4y = 6y
-20 + 6y = -28 + 4y + -4y

Combine like terms: 4y + -4y = 0
-20 + 6y = -28 + 0
-20 + 6y = -28

Add '20' to each side of the equation.
-20 + 20 + 6y = -28 + 20

Combine like terms: -20 + 20 = 0
0 + 6y = -28 + 20
6y = -28 + 20

Combine like terms: -28 + 20 = -8
6y = -8

Divide each side by '6'.
y = -1.333333333

Simplifying
y = -1.333333333

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