7-(y+4)=-5y-2y-3

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Solution for 7-(y+4)=-5y-2y-3 equation:


Simplifying
7 + -1(y + 4) = -5y + -2y + -3

Reorder the terms:
7 + -1(4 + y) = -5y + -2y + -3
7 + (4 * -1 + y * -1) = -5y + -2y + -3
7 + (-4 + -1y) = -5y + -2y + -3

Combine like terms: 7 + -4 = 3
3 + -1y = -5y + -2y + -3

Reorder the terms:
3 + -1y = -3 + -5y + -2y

Combine like terms: -5y + -2y = -7y
3 + -1y = -3 + -7y

Solving
3 + -1y = -3 + -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.
3 + -1y + 7y = -3 + -7y + 7y

Combine like terms: -1y + 7y = 6y
3 + 6y = -3 + -7y + 7y

Combine like terms: -7y + 7y = 0
3 + 6y = -3 + 0
3 + 6y = -3

Add '-3' to each side of the equation.
3 + -3 + 6y = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 6y = -3 + -3
6y = -3 + -3

Combine like terms: -3 + -3 = -6
6y = -6

Divide each side by '6'.
y = -1

Simplifying
y = -1

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