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

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


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

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

Reorder the terms:
-1 + 5y = -3(3 + y)
-1 + 5y = (3 * -3 + y * -3)
-1 + 5y = (-9 + -3y)

Solving
-1 + 5y = -9 + -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.
-1 + 5y + 3y = -9 + -3y + 3y

Combine like terms: 5y + 3y = 8y
-1 + 8y = -9 + -3y + 3y

Combine like terms: -3y + 3y = 0
-1 + 8y = -9 + 0
-1 + 8y = -9

Add '1' to each side of the equation.
-1 + 1 + 8y = -9 + 1

Combine like terms: -1 + 1 = 0
0 + 8y = -9 + 1
8y = -9 + 1

Combine like terms: -9 + 1 = -8
8y = -8

Divide each side by '8'.
y = -1

Simplifying
y = -1

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