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

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


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

Reorder the terms:
-7(4 + y) = 4 + -1(-3y + -7)
(4 * -7 + y * -7) = 4 + -1(-3y + -7)
(-28 + -7y) = 4 + -1(-3y + -7)

Reorder the terms:
-28 + -7y = 4 + -1(-7 + -3y)
-28 + -7y = 4 + (-7 * -1 + -3y * -1)
-28 + -7y = 4 + (7 + 3y)

Combine like terms: 4 + 7 = 11
-28 + -7y = 11 + 3y

Solving
-28 + -7y = 11 + 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.
-28 + -7y + -3y = 11 + 3y + -3y

Combine like terms: -7y + -3y = -10y
-28 + -10y = 11 + 3y + -3y

Combine like terms: 3y + -3y = 0
-28 + -10y = 11 + 0
-28 + -10y = 11

Add '28' to each side of the equation.
-28 + 28 + -10y = 11 + 28

Combine like terms: -28 + 28 = 0
0 + -10y = 11 + 28
-10y = 11 + 28

Combine like terms: 11 + 28 = 39
-10y = 39

Divide each side by '-10'.
y = -3.9

Simplifying
y = -3.9

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