-3(7+y)-(-6y-5)=-5y

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Solution for -3(7+y)-(-6y-5)=-5y equation: 


Simplifying
-3(7 + y) + -1(-6y + -5) = -5y
(7 * -3 + y * -3) + -1(-6y + -5) = -5y
(-21 + -3y) + -1(-6y + -5) = -5y

Reorder the terms:
-21 + -3y + -1(-5 + -6y) = -5y
-21 + -3y + (-5 * -1 + -6y * -1) = -5y
-21 + -3y + (5 + 6y) = -5y

Reorder the terms:
-21 + 5 + -3y + 6y = -5y

Combine like terms: -21 + 5 = -16
-16 + -3y + 6y = -5y

Combine like terms: -3y + 6y = 3y
-16 + 3y = -5y

Solving
-16 + 3y = -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-16 + 3y + 5y = -5y + 5y

Combine like terms: 3y + 5y = 8y
-16 + 8y = -5y + 5y

Combine like terms: -5y + 5y = 0
-16 + 8y = 0

Add '16' to each side of the equation.
-16 + 16 + 8y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 8y = 0 + 16
8y = 0 + 16

Combine like terms: 0 + 16 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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