5y+9=-4(2y+3)

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Solution for 5y+9=-4(2y+3) equation:


Simplifying
5y + 9 = -4(2y + 3)

Reorder the terms:
9 + 5y = -4(2y + 3)

Reorder the terms:
9 + 5y = -4(3 + 2y)
9 + 5y = (3 * -4 + 2y * -4)
9 + 5y = (-12 + -8y)

Solving
9 + 5y = -12 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
9 + 5y + 8y = -12 + -8y + 8y

Combine like terms: 5y + 8y = 13y
9 + 13y = -12 + -8y + 8y

Combine like terms: -8y + 8y = 0
9 + 13y = -12 + 0
9 + 13y = -12

Add '-9' to each side of the equation.
9 + -9 + 13y = -12 + -9

Combine like terms: 9 + -9 = 0
0 + 13y = -12 + -9
13y = -12 + -9

Combine like terms: -12 + -9 = -21
13y = -21

Divide each side by '13'.
y = -1.615384615

Simplifying
y = -1.615384615

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