3y-5=-2(2y+27)

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Solution for 3y-5=-2(2y+27) equation:


Simplifying
3y + -5 = -2(2y + 27)

Reorder the terms:
-5 + 3y = -2(2y + 27)

Reorder the terms:
-5 + 3y = -2(27 + 2y)
-5 + 3y = (27 * -2 + 2y * -2)
-5 + 3y = (-54 + -4y)

Solving
-5 + 3y = -54 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-5 + 3y + 4y = -54 + -4y + 4y

Combine like terms: 3y + 4y = 7y
-5 + 7y = -54 + -4y + 4y

Combine like terms: -4y + 4y = 0
-5 + 7y = -54 + 0
-5 + 7y = -54

Add '5' to each side of the equation.
-5 + 5 + 7y = -54 + 5

Combine like terms: -5 + 5 = 0
0 + 7y = -54 + 5
7y = -54 + 5

Combine like terms: -54 + 5 = -49
7y = -49

Divide each side by '7'.
y = -7

Simplifying
y = -7

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