5-4(8y-6)=-4(-3y-1)+6

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Solution for 5-4(8y-6)=-4(-3y-1)+6 equation:


Simplifying
5 + -4(8y + -6) = -4(-3y + -1) + 6

Reorder the terms:
5 + -4(-6 + 8y) = -4(-3y + -1) + 6
5 + (-6 * -4 + 8y * -4) = -4(-3y + -1) + 6
5 + (24 + -32y) = -4(-3y + -1) + 6

Combine like terms: 5 + 24 = 29
29 + -32y = -4(-3y + -1) + 6

Reorder the terms:
29 + -32y = -4(-1 + -3y) + 6
29 + -32y = (-1 * -4 + -3y * -4) + 6
29 + -32y = (4 + 12y) + 6

Reorder the terms:
29 + -32y = 4 + 6 + 12y

Combine like terms: 4 + 6 = 10
29 + -32y = 10 + 12y

Solving
29 + -32y = 10 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
29 + -32y + -12y = 10 + 12y + -12y

Combine like terms: -32y + -12y = -44y
29 + -44y = 10 + 12y + -12y

Combine like terms: 12y + -12y = 0
29 + -44y = 10 + 0
29 + -44y = 10

Add '-29' to each side of the equation.
29 + -29 + -44y = 10 + -29

Combine like terms: 29 + -29 = 0
0 + -44y = 10 + -29
-44y = 10 + -29

Combine like terms: 10 + -29 = -19
-44y = -19

Divide each side by '-44'.
y = 0.4318181818

Simplifying
y = 0.4318181818

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