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

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


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

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

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

Combine like terms: 7 + 4 = 11
11 + y + 12y = 3(y + -1)

Combine like terms: y + 12y = 13y
11 + 13y = 3(y + -1)

Reorder the terms:
11 + 13y = 3(-1 + y)
11 + 13y = (-1 * 3 + y * 3)
11 + 13y = (-3 + 3y)

Solving
11 + 13y = -3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
11 + 13y + -3y = -3 + 3y + -3y

Combine like terms: 13y + -3y = 10y
11 + 10y = -3 + 3y + -3y

Combine like terms: 3y + -3y = 0
11 + 10y = -3 + 0
11 + 10y = -3

Add '-11' to each side of the equation.
11 + -11 + 10y = -3 + -11

Combine like terms: 11 + -11 = 0
0 + 10y = -3 + -11
10y = -3 + -11

Combine like terms: -3 + -11 = -14
10y = -14

Divide each side by '10'.
y = -1.4

Simplifying
y = -1.4

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