-5y-1=-2(y+2)

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Solution for -5y-1=-2(y+2) equation:


Simplifying
-5y + -1 = -2(y + 2)

Reorder the terms:
-1 + -5y = -2(y + 2)

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

Solving
-1 + -5y = -4 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-1 + -5y + 2y = -4 + -2y + 2y

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

Combine like terms: -2y + 2y = 0
-1 + -3y = -4 + 0
-1 + -3y = -4

Add '1' to each side of the equation.
-1 + 1 + -3y = -4 + 1

Combine like terms: -1 + 1 = 0
0 + -3y = -4 + 1
-3y = -4 + 1

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

Divide each side by '-3'.
y = 1

Simplifying
y = 1

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