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

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


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

Reorder the terms:
4y + -3(-4 + 4y) = 5 + -4(-4 + -1y)
4y + (-4 * -3 + 4y * -3) = 5 + -4(-4 + -1y)
4y + (12 + -12y) = 5 + -4(-4 + -1y)

Reorder the terms:
12 + 4y + -12y = 5 + -4(-4 + -1y)

Combine like terms: 4y + -12y = -8y
12 + -8y = 5 + -4(-4 + -1y)
12 + -8y = 5 + (-4 * -4 + -1y * -4)
12 + -8y = 5 + (16 + 4y)

Combine like terms: 5 + 16 = 21
12 + -8y = 21 + 4y

Solving
12 + -8y = 21 + 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.
12 + -8y + -4y = 21 + 4y + -4y

Combine like terms: -8y + -4y = -12y
12 + -12y = 21 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + -12y = 21 + 0
12 + -12y = 21

Add '-12' to each side of the equation.
12 + -12 + -12y = 21 + -12

Combine like terms: 12 + -12 = 0
0 + -12y = 21 + -12
-12y = 21 + -12

Combine like terms: 21 + -12 = 9
-12y = 9

Divide each side by '-12'.
y = -0.75

Simplifying
y = -0.75

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