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

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


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

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

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

Combine like terms: 8 + 3 = 11
11 + 5y + 12y = 7(y + -1)

Combine like terms: 5y + 12y = 17y
11 + 17y = 7(y + -1)

Reorder the terms:
11 + 17y = 7(-1 + y)
11 + 17y = (-1 * 7 + y * 7)
11 + 17y = (-7 + 7y)

Solving
11 + 17y = -7 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
11 + 17y + -7y = -7 + 7y + -7y

Combine like terms: 17y + -7y = 10y
11 + 10y = -7 + 7y + -7y

Combine like terms: 7y + -7y = 0
11 + 10y = -7 + 0
11 + 10y = -7

Add '-11' to each side of the equation.
11 + -11 + 10y = -7 + -11

Combine like terms: 11 + -11 = 0
0 + 10y = -7 + -11
10y = -7 + -11

Combine like terms: -7 + -11 = -18
10y = -18

Divide each side by '10'.
y = -1.8

Simplifying
y = -1.8

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