-3y+1(-2y-4)=-4-7(-4-y)

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


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

Reorder the terms:
-3y + 1(-4 + -2y) = -4 + -7(-4 + -1y)
-3y + (-4 * 1 + -2y * 1) = -4 + -7(-4 + -1y)
-3y + (-4 + -2y) = -4 + -7(-4 + -1y)

Reorder the terms:
-4 + -3y + -2y = -4 + -7(-4 + -1y)

Combine like terms: -3y + -2y = -5y
-4 + -5y = -4 + -7(-4 + -1y)
-4 + -5y = -4 + (-4 * -7 + -1y * -7)
-4 + -5y = -4 + (28 + 7y)

Combine like terms: -4 + 28 = 24
-4 + -5y = 24 + 7y

Solving
-4 + -5y = 24 + 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.
-4 + -5y + -7y = 24 + 7y + -7y

Combine like terms: -5y + -7y = -12y
-4 + -12y = 24 + 7y + -7y

Combine like terms: 7y + -7y = 0
-4 + -12y = 24 + 0
-4 + -12y = 24

Add '4' to each side of the equation.
-4 + 4 + -12y = 24 + 4

Combine like terms: -4 + 4 = 0
0 + -12y = 24 + 4
-12y = 24 + 4

Combine like terms: 24 + 4 = 28
-12y = 28

Divide each side by '-12'.
y = -2.333333333

Simplifying
y = -2.333333333

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