-7y-9=-3(y-5)

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Solution for -7y-9=-3(y-5) equation:


Simplifying
-7y + -9 = -3(y + -5)

Reorder the terms:
-9 + -7y = -3(y + -5)

Reorder the terms:
-9 + -7y = -3(-5 + y)
-9 + -7y = (-5 * -3 + y * -3)
-9 + -7y = (15 + -3y)

Solving
-9 + -7y = 15 + -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.
-9 + -7y + 3y = 15 + -3y + 3y

Combine like terms: -7y + 3y = -4y
-9 + -4y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
-9 + -4y = 15 + 0
-9 + -4y = 15

Add '9' to each side of the equation.
-9 + 9 + -4y = 15 + 9

Combine like terms: -9 + 9 = 0
0 + -4y = 15 + 9
-4y = 15 + 9

Combine like terms: 15 + 9 = 24
-4y = 24

Divide each side by '-4'.
y = -6

Simplifying
y = -6

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