4(y-8)-4=-6(-4y+7)-2y

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Solution for 4(y-8)-4=-6(-4y+7)-2y equation:


Simplifying
4(y + -8) + -4 = -6(-4y + 7) + -2y

Reorder the terms:
4(-8 + y) + -4 = -6(-4y + 7) + -2y
(-8 * 4 + y * 4) + -4 = -6(-4y + 7) + -2y
(-32 + 4y) + -4 = -6(-4y + 7) + -2y

Reorder the terms:
-32 + -4 + 4y = -6(-4y + 7) + -2y

Combine like terms: -32 + -4 = -36
-36 + 4y = -6(-4y + 7) + -2y

Reorder the terms:
-36 + 4y = -6(7 + -4y) + -2y
-36 + 4y = (7 * -6 + -4y * -6) + -2y
-36 + 4y = (-42 + 24y) + -2y

Combine like terms: 24y + -2y = 22y
-36 + 4y = -42 + 22y

Solving
-36 + 4y = -42 + 22y

Solving for variable 'y'.

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

Add '-22y' to each side of the equation.
-36 + 4y + -22y = -42 + 22y + -22y

Combine like terms: 4y + -22y = -18y
-36 + -18y = -42 + 22y + -22y

Combine like terms: 22y + -22y = 0
-36 + -18y = -42 + 0
-36 + -18y = -42

Add '36' to each side of the equation.
-36 + 36 + -18y = -42 + 36

Combine like terms: -36 + 36 = 0
0 + -18y = -42 + 36
-18y = -42 + 36

Combine like terms: -42 + 36 = -6
-18y = -6

Divide each side by '-18'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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