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

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


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

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

Reorder the terms:
5 + 3y = -2(5 + y)
5 + 3y = (5 * -2 + y * -2)
5 + 3y = (-10 + -2y)

Solving
5 + 3y = -10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
5 + 3y + 2y = -10 + -2y + 2y

Combine like terms: 3y + 2y = 5y
5 + 5y = -10 + -2y + 2y

Combine like terms: -2y + 2y = 0
5 + 5y = -10 + 0
5 + 5y = -10

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

Combine like terms: 5 + -5 = 0
0 + 5y = -10 + -5
5y = -10 + -5

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

Divide each side by '5'.
y = -3

Simplifying
y = -3

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