5(y+5)=-3(y+1)

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Solution for 5(y+5)=-3(y+1) equation: 


Simplifying
5(y + 5) = -3(y + 1)

Reorder the terms:
5(5 + y) = -3(y + 1)
(5 * 5 + y * 5) = -3(y + 1)
(25 + 5y) = -3(y + 1)

Reorder the terms:
25 + 5y = -3(1 + y)
25 + 5y = (1 * -3 + y * -3)
25 + 5y = (-3 + -3y)

Solving
25 + 5y = -3 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
25 + 5y + 3y = -3 + -3y + 3y

Combine like terms: 5y + 3y = 8y
25 + 8y = -3 + -3y + 3y

Combine like terms: -3y + 3y = 0
25 + 8y = -3 + 0
25 + 8y = -3

Add '-25' to each side of the equation.
25 + -25 + 8y = -3 + -25

Combine like terms: 25 + -25 = 0
0 + 8y = -3 + -25
8y = -3 + -25

Combine like terms: -3 + -25 = -28
8y = -28

Divide each side by '8'.
y = -3.5

Simplifying
y = -3.5

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