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

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


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

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

Reorder the terms:
4 + 5y = -4(5 + 2y)
4 + 5y = (5 * -4 + 2y * -4)
4 + 5y = (-20 + -8y)

Solving
4 + 5y = -20 + -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.
4 + 5y + 8y = -20 + -8y + 8y

Combine like terms: 5y + 8y = 13y
4 + 13y = -20 + -8y + 8y

Combine like terms: -8y + 8y = 0
4 + 13y = -20 + 0
4 + 13y = -20

Add '-4' to each side of the equation.
4 + -4 + 13y = -20 + -4

Combine like terms: 4 + -4 = 0
0 + 13y = -20 + -4
13y = -20 + -4

Combine like terms: -20 + -4 = -24
13y = -24

Divide each side by '13'.
y = -1.846153846

Simplifying
y = -1.846153846

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