-2y+5=-3(2y+9)

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Solution for -2y+5=-3(2y+9) equation:


Simplifying
-2y + 5 = -3(2y + 9)

Reorder the terms:
5 + -2y = -3(2y + 9)

Reorder the terms:
5 + -2y = -3(9 + 2y)
5 + -2y = (9 * -3 + 2y * -3)
5 + -2y = (-27 + -6y)

Solving
5 + -2y = -27 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
5 + -2y + 6y = -27 + -6y + 6y

Combine like terms: -2y + 6y = 4y
5 + 4y = -27 + -6y + 6y

Combine like terms: -6y + 6y = 0
5 + 4y = -27 + 0
5 + 4y = -27

Add '-5' to each side of the equation.
5 + -5 + 4y = -27 + -5

Combine like terms: 5 + -5 = 0
0 + 4y = -27 + -5
4y = -27 + -5

Combine like terms: -27 + -5 = -32
4y = -32

Divide each side by '4'.
y = -8

Simplifying
y = -8

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