-3y-1=-7(y-5)

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Solution for -3y-1=-7(y-5) equation: 


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

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

Reorder the terms:
-1 + -3y = -7(-5 + y)
-1 + -3y = (-5 * -7 + y * -7)
-1 + -3y = (35 + -7y)

Solving
-1 + -3y = 35 + -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.
-1 + -3y + 7y = 35 + -7y + 7y

Combine like terms: -3y + 7y = 4y
-1 + 4y = 35 + -7y + 7y

Combine like terms: -7y + 7y = 0
-1 + 4y = 35 + 0
-1 + 4y = 35

Add '1' to each side of the equation.
-1 + 1 + 4y = 35 + 1

Combine like terms: -1 + 1 = 0
0 + 4y = 35 + 1
4y = 35 + 1

Combine like terms: 35 + 1 = 36
4y = 36

Divide each side by '4'.
y = 9

Simplifying
y = 9

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