12-5(3y-4)+(8-5y)=2(4y+1)+4(3-7y)-2

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Solution for 12-5(3y-4)+(8-5y)=2(4y+1)+4(3-7y)-2 equation: 


Simplifying
12 + -5(3y + -4) + (8 + -5y) = 2(4y + 1) + 4(3 + -7y) + -2

Reorder the terms:
12 + -5(-4 + 3y) + (8 + -5y) = 2(4y + 1) + 4(3 + -7y) + -2
12 + (-4 * -5 + 3y * -5) + (8 + -5y) = 2(4y + 1) + 4(3 + -7y) + -2
12 + (20 + -15y) + (8 + -5y) = 2(4y + 1) + 4(3 + -7y) + -2

Remove parenthesis around (8 + -5y)
12 + 20 + -15y + 8 + -5y = 2(4y + 1) + 4(3 + -7y) + -2

Reorder the terms:
12 + 20 + 8 + -15y + -5y = 2(4y + 1) + 4(3 + -7y) + -2

Combine like terms: 12 + 20 = 32
32 + 8 + -15y + -5y = 2(4y + 1) + 4(3 + -7y) + -2

Combine like terms: 32 + 8 = 40
40 + -15y + -5y = 2(4y + 1) + 4(3 + -7y) + -2

Combine like terms: -15y + -5y = -20y
40 + -20y = 2(4y + 1) + 4(3 + -7y) + -2

Reorder the terms:
40 + -20y = 2(1 + 4y) + 4(3 + -7y) + -2
40 + -20y = (1 * 2 + 4y * 2) + 4(3 + -7y) + -2
40 + -20y = (2 + 8y) + 4(3 + -7y) + -2
40 + -20y = 2 + 8y + (3 * 4 + -7y * 4) + -2
40 + -20y = 2 + 8y + (12 + -28y) + -2

Reorder the terms:
40 + -20y = 2 + 12 + -2 + 8y + -28y

Combine like terms: 2 + 12 = 14
40 + -20y = 14 + -2 + 8y + -28y

Combine like terms: 14 + -2 = 12
40 + -20y = 12 + 8y + -28y

Combine like terms: 8y + -28y = -20y
40 + -20y = 12 + -20y

Add '20y' to each side of the equation.
40 + -20y + 20y = 12 + -20y + 20y

Combine like terms: -20y + 20y = 0
40 + 0 = 12 + -20y + 20y
40 = 12 + -20y + 20y

Combine like terms: -20y + 20y = 0
40 = 12 + 0
40 = 12

Solving
40 = 12

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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