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

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


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

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

Reorder the terms:
9 + -2y = -3(5 + 2y)
9 + -2y = (5 * -3 + 2y * -3)
9 + -2y = (-15 + -6y)

Solving
9 + -2y = -15 + -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.
9 + -2y + 6y = -15 + -6y + 6y

Combine like terms: -2y + 6y = 4y
9 + 4y = -15 + -6y + 6y

Combine like terms: -6y + 6y = 0
9 + 4y = -15 + 0
9 + 4y = -15

Add '-9' to each side of the equation.
9 + -9 + 4y = -15 + -9

Combine like terms: 9 + -9 = 0
0 + 4y = -15 + -9
4y = -15 + -9

Combine like terms: -15 + -9 = -24
4y = -24

Divide each side by '4'.
y = -6

Simplifying
y = -6

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