5y+8=-7y-3(y+4)

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Solution for 5y+8=-7y-3(y+4) equation:


Simplifying
5y + 8 = -7y + -3(y + 4)

Reorder the terms:
8 + 5y = -7y + -3(y + 4)

Reorder the terms:
8 + 5y = -7y + -3(4 + y)
8 + 5y = -7y + (4 * -3 + y * -3)
8 + 5y = -7y + (-12 + -3y)

Reorder the terms:
8 + 5y = -12 + -7y + -3y

Combine like terms: -7y + -3y = -10y
8 + 5y = -12 + -10y

Solving
8 + 5y = -12 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
8 + 5y + 10y = -12 + -10y + 10y

Combine like terms: 5y + 10y = 15y
8 + 15y = -12 + -10y + 10y

Combine like terms: -10y + 10y = 0
8 + 15y = -12 + 0
8 + 15y = -12

Add '-8' to each side of the equation.
8 + -8 + 15y = -12 + -8

Combine like terms: 8 + -8 = 0
0 + 15y = -12 + -8
15y = -12 + -8

Combine like terms: -12 + -8 = -20
15y = -20

Divide each side by '15'.
y = -1.333333333

Simplifying
y = -1.333333333

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